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Finding the Fourth Proportional to 9,248.57, 12,759.42 and 5,890.77

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Solution

The fourth proportional to 9,248.57, 12,759.42 and 5,890.77 is: 8,126.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,248.57 : 12,759.42 = 5,890.77 : x
  2. Step 2: Convert to fraction form
    9,248.57/12,759.42 = 5,890.77/x
  3. Step 3: Cross multiply
    9,248.57x = 12,759.42 × 5,890.77
  4. Step 4: Simplify right side
    9,248.57x = 75,162,808.55
  5. Step 5: Solve for x
    x = 75,162,808.55/9,248.57
  6. Step 6: Final answer
    x = 8,126.97

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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.