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Finding the Fourth Proportional to 24,510.97, 36,762.98 and 7,872.44

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Solution

The fourth proportional to 24,510.97, 36,762.98 and 7,872.44 is: 11,807.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,510.97 : 36,762.98 = 7,872.44 : x
  2. Step 2: Convert to fraction form
    24,510.97/36,762.98 = 7,872.44/x
  3. Step 3: Cross multiply
    24,510.97x = 36,762.98 × 7,872.44
  4. Step 4: Simplify right side
    24,510.97x = 289,414,354.27
  5. Step 5: Solve for x
    x = 289,414,354.27/24,510.97
  6. Step 6: Final answer
    x = 11,807.54

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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.