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Finding the Fourth Proportional to 10,705.68, 16,083.18 and 7,593.42

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Solution

The fourth proportional to 10,705.68, 16,083.18 and 7,593.42 is: 11,407.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.68 : 16,083.18 = 7,593.42 : x
  2. Step 2: Convert to fraction form
    10,705.68/16,083.18 = 7,593.42/x
  3. Step 3: Cross multiply
    10,705.68x = 16,083.18 × 7,593.42
  4. Step 4: Simplify right side
    10,705.68x = 122,126,340.68
  5. Step 5: Solve for x
    x = 122,126,340.68/10,705.68
  6. Step 6: Final answer
    x = 11,407.62

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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.