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Finding the Fourth Proportional to 5,414.64, 7,469.98 and 3,646.82

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Solution

The fourth proportional to 5,414.64, 7,469.98 and 3,646.82 is: 5,031.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.64 : 7,469.98 = 3,646.82 : x
  2. Step 2: Convert to fraction form
    5,414.64/7,469.98 = 3,646.82/x
  3. Step 3: Cross multiply
    5,414.64x = 7,469.98 × 3,646.82
  4. Step 4: Simplify right side
    5,414.64x = 27,241,626.00
  5. Step 5: Solve for x
    x = 27,241,626.00/5,414.64
  6. Step 6: Final answer
    x = 5,031.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.