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Finding the Fourth Proportional to 5,746.62, 8,614.17 and 4,014.78

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Solution

The fourth proportional to 5,746.62, 8,614.17 and 4,014.78 is: 6,018.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746.62 : 8,614.17 = 4,014.78 : x
  2. Step 2: Convert to fraction form
    5,746.62/8,614.17 = 4,014.78/x
  3. Step 3: Cross multiply
    5,746.62x = 8,614.17 × 4,014.78
  4. Step 4: Simplify right side
    5,746.62x = 34,583,997.43
  5. Step 5: Solve for x
    x = 34,583,997.43/5,746.62
  6. Step 6: Final answer
    x = 6,018.15

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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.