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Finding the Fourth Proportional to 9,878.22, 13,632.18 and 5,901.63

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Solution

The fourth proportional to 9,878.22, 13,632.18 and 5,901.63 is: 8,144.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,878.22 : 13,632.18 = 5,901.63 : x
  2. Step 2: Convert to fraction form
    9,878.22/13,632.18 = 5,901.63/x
  3. Step 3: Cross multiply
    9,878.22x = 13,632.18 × 5,901.63
  4. Step 4: Simplify right side
    9,878.22x = 80,452,082.45
  5. Step 5: Solve for x
    x = 80,452,082.45/9,878.22
  6. Step 6: Final answer
    x = 8,144.39

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Half scale
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Double scale
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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.