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Finding the Fourth Proportional to 24,614.88, 36,922.31 and 6,146.88

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Solution

The fourth proportional to 24,614.88, 36,922.31 and 6,146.88 is: 9,220.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,614.88 : 36,922.31 = 6,146.88 : x
  2. Step 2: Convert to fraction form
    24,614.88/36,922.31 = 6,146.88/x
  3. Step 3: Cross multiply
    24,614.88x = 36,922.31 × 6,146.88
  4. Step 4: Simplify right side
    24,614.88x = 226,957,008.89
  5. Step 5: Solve for x
    x = 226,957,008.89/24,614.88
  6. Step 6: Final answer
    x = 9,220.32

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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.