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Finding the Fourth Proportional to 8,354.34, 11,502.69 and 7,092.90

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Solution

The fourth proportional to 8,354.34, 11,502.69 and 7,092.90 is: 9,765.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,354.34 : 11,502.69 = 7,092.90 : x
  2. Step 2: Convert to fraction form
    8,354.34/11,502.69 = 7,092.90/x
  3. Step 3: Cross multiply
    8,354.34x = 11,502.69 × 7,092.90
  4. Step 4: Simplify right side
    8,354.34x = 81,587,429.90
  5. Step 5: Solve for x
    x = 81,587,429.90/8,354.34
  6. Step 6: Final answer
    x = 9,765.87

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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.