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Finding the Fourth Proportional to 10,480.56, 15,737.58 and 6,101.16

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Solution

The fourth proportional to 10,480.56, 15,737.58 and 6,101.16 is: 9,161.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,480.56 : 15,737.58 = 6,101.16 : x
  2. Step 2: Convert to fraction form
    10,480.56/15,737.58 = 6,101.16/x
  3. Step 3: Cross multiply
    10,480.56x = 15,737.58 × 6,101.16
  4. Step 4: Simplify right side
    10,480.56x = 96,017,493.59
  5. Step 5: Solve for x
    x = 96,017,493.59/10,480.56
  6. Step 6: Final answer
    x = 9,161.49

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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.