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Finding the Fourth Proportional to 11,402.70, 17,092.42 and 6,461.90

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Solution

The fourth proportional to 11,402.70, 17,092.42 and 6,461.90 is: 9,686.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,402.70 : 17,092.42 = 6,461.90 : x
  2. Step 2: Convert to fraction form
    11,402.70/17,092.42 = 6,461.90/x
  3. Step 3: Cross multiply
    11,402.70x = 17,092.42 × 6,461.90
  4. Step 4: Simplify right side
    11,402.70x = 110,449,508.80
  5. Step 5: Solve for x
    x = 110,449,508.80/11,402.70
  6. Step 6: Final answer
    x = 9,686.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.