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Finding the Fourth Proportional to 10,494.83, 15,744.96 and 3,098.99

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Solution

The fourth proportional to 10,494.83, 15,744.96 and 3,098.99 is: 4,649.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.83 : 15,744.96 = 3,098.99 : x
  2. Step 2: Convert to fraction form
    10,494.83/15,744.96 = 3,098.99/x
  3. Step 3: Cross multiply
    10,494.83x = 15,744.96 × 3,098.99
  4. Step 4: Simplify right side
    10,494.83x = 48,793,473.59
  5. Step 5: Solve for x
    x = 48,793,473.59/10,494.83
  6. Step 6: Final answer
    x = 4,649.29

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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.