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Finding the Fourth Proportional to 6,902.20, 9,988.75 and 6,902.20

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Solution

The fourth proportional to 6,902.20, 9,988.75 and 6,902.20 is: 9,988.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.20 : 9,988.75 = 6,902.20 : x
  2. Step 2: Convert to fraction form
    6,902.20/9,988.75 = 6,902.20/x
  3. Step 3: Cross multiply
    6,902.20x = 9,988.75 × 6,902.20
  4. Step 4: Simplify right side
    6,902.20x = 68,944,350.25
  5. Step 5: Solve for x
    x = 68,944,350.25/6,902.20
  6. Step 6: Final answer
    x = 9,988.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.