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Finding the Fourth Proportional to 10,057.92, 13,876.12 and 7,411.64

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Solution

The fourth proportional to 10,057.92, 13,876.12 and 7,411.64 is: 10,225.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,057.92 : 13,876.12 = 7,411.64 : x
  2. Step 2: Convert to fraction form
    10,057.92/13,876.12 = 7,411.64/x
  3. Step 3: Cross multiply
    10,057.92x = 13,876.12 × 7,411.64
  4. Step 4: Simplify right side
    10,057.92x = 102,844,806.04
  5. Step 5: Solve for x
    x = 102,844,806.04/10,057.92
  6. Step 6: Final answer
    x = 10,225.26

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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.