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Finding the Fourth Proportional to 5,614.20, 8,405.10 and 4,966.20

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Solution

The fourth proportional to 5,614.20, 8,405.10 and 4,966.20 is: 7,434.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.20 : 8,405.10 = 4,966.20 : x
  2. Step 2: Convert to fraction form
    5,614.20/8,405.10 = 4,966.20/x
  3. Step 3: Cross multiply
    5,614.20x = 8,405.10 × 4,966.20
  4. Step 4: Simplify right side
    5,614.20x = 41,741,407.62
  5. Step 5: Solve for x
    x = 41,741,407.62/5,614.20
  6. Step 6: Final answer
    x = 7,434.97

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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.