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Finding the Fourth Proportional to 25,831.98, 38,747.96 and 8,314.11

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Solution

The fourth proportional to 25,831.98, 38,747.96 and 8,314.11 is: 12,471.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,831.98 : 38,747.96 = 8,314.11 : x
  2. Step 2: Convert to fraction form
    25,831.98/38,747.96 = 8,314.11/x
  3. Step 3: Cross multiply
    25,831.98x = 38,747.96 × 8,314.11
  4. Step 4: Simplify right side
    25,831.98x = 322,154,801.72
  5. Step 5: Solve for x
    x = 322,154,801.72/25,831.98
  6. Step 6: Final answer
    x = 12,471.16

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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.