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Finding the Fourth Proportional to 8,456.16, 11,658.32 and 6,938.16

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Solution

The fourth proportional to 8,456.16, 11,658.32 and 6,938.16 is: 9,565.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,456.16 : 11,658.32 = 6,938.16 : x
  2. Step 2: Convert to fraction form
    8,456.16/11,658.32 = 6,938.16/x
  3. Step 3: Cross multiply
    8,456.16x = 11,658.32 × 6,938.16
  4. Step 4: Simplify right side
    8,456.16x = 80,887,254.80
  5. Step 5: Solve for x
    x = 80,887,254.80/8,456.16
  6. Step 6: Final answer
    x = 9,565.48

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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.