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Finding the Fourth Proportional to 10,697.91, 16,042.19 and 5,077.19

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Solution

The fourth proportional to 10,697.91, 16,042.19 and 5,077.19 is: 7,613.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697.91 : 16,042.19 = 5,077.19 : x
  2. Step 2: Convert to fraction form
    10,697.91/16,042.19 = 5,077.19/x
  3. Step 3: Cross multiply
    10,697.91x = 16,042.19 × 5,077.19
  4. Step 4: Simplify right side
    10,697.91x = 81,449,230.53
  5. Step 5: Solve for x
    x = 81,449,230.53/10,697.91
  6. Step 6: Final answer
    x = 7,613.56

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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.