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Finding the Fourth Proportional to 8,029, 11,092.24 and 6,417.40

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Solution

The fourth proportional to 8,029, 11,092.24 and 6,417.40 is: 8,865.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,029 : 11,092.24 = 6,417.40 : x
  2. Step 2: Convert to fraction form
    8,029/11,092.24 = 6,417.40/x
  3. Step 3: Cross multiply
    8,029x = 11,092.24 × 6,417.40
  4. Step 4: Simplify right side
    8,029x = 71,183,340.98
  5. Step 5: Solve for x
    x = 71,183,340.98/8,029
  6. Step 6: Final answer
    x = 8,865.78

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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.