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Finding the Fourth Proportional to 9,697.44, 14,546.16 and 7,753.44

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Solution

The fourth proportional to 9,697.44, 14,546.16 and 7,753.44 is: 11,630.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.44 : 14,546.16 = 7,753.44 : x
  2. Step 2: Convert to fraction form
    9,697.44/14,546.16 = 7,753.44/x
  3. Step 3: Cross multiply
    9,697.44x = 14,546.16 × 7,753.44
  4. Step 4: Simplify right side
    9,697.44x = 112,782,778.79
  5. Step 5: Solve for x
    x = 112,782,778.79/9,697.44
  6. Step 6: Final answer
    x = 11,630.16

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.