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Finding the Fourth Proportional to 6,532.42, 9,799.98 and 2,149.90

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Solution

The fourth proportional to 6,532.42, 9,799.98 and 2,149.90 is: 3,225.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532.42 : 9,799.98 = 2,149.90 : x
  2. Step 2: Convert to fraction form
    6,532.42/9,799.98 = 2,149.90/x
  3. Step 3: Cross multiply
    6,532.42x = 9,799.98 × 2,149.90
  4. Step 4: Simplify right side
    6,532.42x = 21,068,977.00
  5. Step 5: Solve for x
    x = 21,068,977.00/6,532.42
  6. Step 6: Final answer
    x = 3,225.29

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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.