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Finding the Fourth Proportional to 8,374.92, 12,565.46 and 3,443.24

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Solution

The fourth proportional to 8,374.92, 12,565.46 and 3,443.24 is: 5,166.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,374.92 : 12,565.46 = 3,443.24 : x
  2. Step 2: Convert to fraction form
    8,374.92/12,565.46 = 3,443.24/x
  3. Step 3: Cross multiply
    8,374.92x = 12,565.46 × 3,443.24
  4. Step 4: Simplify right side
    8,374.92x = 43,265,894.49
  5. Step 5: Solve for x
    x = 43,265,894.49/8,374.92
  6. Step 6: Final answer
    x = 5,166.13

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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.