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Finding the Fourth Proportional to 4,902.01, 7,354.10 and 1,614.87

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Solution

The fourth proportional to 4,902.01, 7,354.10 and 1,614.87 is: 2,422.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.01 : 7,354.10 = 1,614.87 : x
  2. Step 2: Convert to fraction form
    4,902.01/7,354.10 = 1,614.87/x
  3. Step 3: Cross multiply
    4,902.01x = 7,354.10 × 1,614.87
  4. Step 4: Simplify right side
    4,902.01x = 11,875,915.47
  5. Step 5: Solve for x
    x = 11,875,915.47/4,902.01
  6. Step 6: Final answer
    x = 2,422.66

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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.