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Finding the Fourth Proportional to 24,497.56, 36,744.34 and 7,853.12

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Solution

The fourth proportional to 24,497.56, 36,744.34 and 7,853.12 is: 11,779.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,497.56 : 36,744.34 = 7,853.12 : x
  2. Step 2: Convert to fraction form
    24,497.56/36,744.34 = 7,853.12/x
  3. Step 3: Cross multiply
    24,497.56x = 36,744.34 × 7,853.12
  4. Step 4: Simplify right side
    24,497.56x = 288,557,711.34
  5. Step 5: Solve for x
    x = 288,557,711.34/24,497.56
  6. Step 6: Final answer
    x = 11,779.04

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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.