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Finding the Fourth Proportional to 9,193.92, 12,687.60 and 5,002.16

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Solution

The fourth proportional to 9,193.92, 12,687.60 and 5,002.16 is: 6,902.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.92 : 12,687.60 = 5,002.16 : x
  2. Step 2: Convert to fraction form
    9,193.92/12,687.60 = 5,002.16/x
  3. Step 3: Cross multiply
    9,193.92x = 12,687.60 × 5,002.16
  4. Step 4: Simplify right side
    9,193.92x = 63,465,405.22
  5. Step 5: Solve for x
    x = 63,465,405.22/9,193.92
  6. Step 6: Final answer
    x = 6,902.98

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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.