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Finding the Fourth Proportional to 9,865.92, 14,805.60 and 5,252.16

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Solution

The fourth proportional to 9,865.92, 14,805.60 and 5,252.16 is: 7,881.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,865.92 : 14,805.60 = 5,252.16 : x
  2. Step 2: Convert to fraction form
    9,865.92/14,805.60 = 5,252.16/x
  3. Step 3: Cross multiply
    9,865.92x = 14,805.60 × 5,252.16
  4. Step 4: Simplify right side
    9,865.92x = 77,761,380.10
  5. Step 5: Solve for x
    x = 77,761,380.10/9,865.92
  6. Step 6: Final answer
    x = 7,881.82

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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.