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Finding the Fourth Proportional to 9,902.64, 14,866.56 and 9,863.76

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Solution

The fourth proportional to 9,902.64, 14,866.56 and 9,863.76 is: 14,808.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.64 : 14,866.56 = 9,863.76 : x
  2. Step 2: Convert to fraction form
    9,902.64/14,866.56 = 9,863.76/x
  3. Step 3: Cross multiply
    9,902.64x = 14,866.56 × 9,863.76
  4. Step 4: Simplify right side
    9,902.64x = 146,640,179.87
  5. Step 5: Solve for x
    x = 146,640,179.87/9,902.64
  6. Step 6: Final answer
    x = 14,808.19

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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.