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Finding the Fourth Proportional to 10,076, 15,114.54 and 3,151.04

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Solution

The fourth proportional to 10,076, 15,114.54 and 3,151.04 is: 4,726.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,076 : 15,114.54 = 3,151.04 : x
  2. Step 2: Convert to fraction form
    10,076/15,114.54 = 3,151.04/x
  3. Step 3: Cross multiply
    10,076x = 15,114.54 × 3,151.04
  4. Step 4: Simplify right side
    10,076x = 47,626,520.12
  5. Step 5: Solve for x
    x = 47,626,520.12/10,076
  6. Step 6: Final answer
    x = 4,726.73

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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.