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Finding the Fourth Proportional to 9,663.22, 13,305.60 and 8,461.32

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Solution

The fourth proportional to 9,663.22, 13,305.60 and 8,461.32 is: 11,650.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.22 : 13,305.60 = 8,461.32 : x
  2. Step 2: Convert to fraction form
    9,663.22/13,305.60 = 8,461.32/x
  3. Step 3: Cross multiply
    9,663.22x = 13,305.60 × 8,461.32
  4. Step 4: Simplify right side
    9,663.22x = 112,582,939.39
  5. Step 5: Solve for x
    x = 112,582,939.39/9,663.22
  6. Step 6: Final answer
    x = 11,650.67

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Half scale
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Double scale
Find fourth proportional to 9,664.22, 13,306.98 and 8,462.32
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.