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Finding the Fourth Proportional to 25,793.14, 38,695.36 and 8,264.74

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Solution

The fourth proportional to 25,793.14, 38,695.36 and 8,264.74 is: 12,398.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,793.14 : 38,695.36 = 8,264.74 : x
  2. Step 2: Convert to fraction form
    25,793.14/38,695.36 = 8,264.74/x
  3. Step 3: Cross multiply
    25,793.14x = 38,695.36 × 8,264.74
  4. Step 4: Simplify right side
    25,793.14x = 319,807,089.61
  5. Step 5: Solve for x
    x = 319,807,089.61/25,793.14
  6. Step 6: Final answer
    x = 12,398.92

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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.