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Finding the Fourth Proportional to 7,234.92, 9,985.98 and 4,092.96

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Solution

The fourth proportional to 7,234.92, 9,985.98 and 4,092.96 is: 5,649.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.92 : 9,985.98 = 4,092.96 : x
  2. Step 2: Convert to fraction form
    7,234.92/9,985.98 = 4,092.96/x
  3. Step 3: Cross multiply
    7,234.92x = 9,985.98 × 4,092.96
  4. Step 4: Simplify right side
    7,234.92x = 40,872,216.70
  5. Step 5: Solve for x
    x = 40,872,216.70/7,234.92
  6. Step 6: Final answer
    x = 5,649.30

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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.