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Finding the Fourth Proportional to 6,695.62, 10,049.65 and 3,411.18

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Solution

The fourth proportional to 6,695.62, 10,049.65 and 3,411.18 is: 5,119.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,695.62 : 10,049.65 = 3,411.18 : x
  2. Step 2: Convert to fraction form
    6,695.62/10,049.65 = 3,411.18/x
  3. Step 3: Cross multiply
    6,695.62x = 10,049.65 × 3,411.18
  4. Step 4: Simplify right side
    6,695.62x = 34,281,156.56
  5. Step 5: Solve for x
    x = 34,281,156.56/6,695.62
  6. Step 6: Final answer
    x = 5,119.94

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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.