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Finding the Fourth Proportional to 24,842.80, 37,264.14 and 6,374.80

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Solution

The fourth proportional to 24,842.80, 37,264.14 and 6,374.80 is: 9,562.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,842.80 : 37,264.14 = 6,374.80 : x
  2. Step 2: Convert to fraction form
    24,842.80/37,264.14 = 6,374.80/x
  3. Step 3: Cross multiply
    24,842.80x = 37,264.14 × 6,374.80
  4. Step 4: Simplify right side
    24,842.80x = 237,551,439.67
  5. Step 5: Solve for x
    x = 237,551,439.67/24,842.80
  6. Step 6: Final answer
    x = 9,562.18

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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.