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Finding the Fourth Proportional to 6,902.97, 9,526.13 and 3,759.17

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Solution

The fourth proportional to 6,902.97, 9,526.13 and 3,759.17 is: 5,187.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.97 : 9,526.13 = 3,759.17 : x
  2. Step 2: Convert to fraction form
    6,902.97/9,526.13 = 3,759.17/x
  3. Step 3: Cross multiply
    6,902.97x = 9,526.13 × 3,759.17
  4. Step 4: Simplify right side
    6,902.97x = 35,810,275.69
  5. Step 5: Solve for x
    x = 35,810,275.69/6,902.97
  6. Step 6: Final answer
    x = 5,187.66

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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.