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Finding the Fourth Proportional to 10,496.57, 14,487.38 and 6,250.12

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Solution

The fourth proportional to 10,496.57, 14,487.38 and 6,250.12 is: 8,626.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496.57 : 14,487.38 = 6,250.12 : x
  2. Step 2: Convert to fraction form
    10,496.57/14,487.38 = 6,250.12/x
  3. Step 3: Cross multiply
    10,496.57x = 14,487.38 × 6,250.12
  4. Step 4: Simplify right side
    10,496.57x = 90,547,883.17
  5. Step 5: Solve for x
    x = 90,547,883.17/10,496.57
  6. Step 6: Final answer
    x = 8,626.42

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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.