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Finding the Fourth Proportional to 9,321.60, 12,863.79 and 5,342.70

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Solution

The fourth proportional to 9,321.60, 12,863.79 and 5,342.70 is: 7,372.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,321.60 : 12,863.79 = 5,342.70 : x
  2. Step 2: Convert to fraction form
    9,321.60/12,863.79 = 5,342.70/x
  3. Step 3: Cross multiply
    9,321.60x = 12,863.79 × 5,342.70
  4. Step 4: Simplify right side
    9,321.60x = 68,727,370.83
  5. Step 5: Solve for x
    x = 68,727,370.83/9,321.60
  6. Step 6: Final answer
    x = 7,372.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.