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Finding the Fourth Proportional to 6,892.75, 9,512 and 4,098.25

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Solution

The fourth proportional to 6,892.75, 9,512 and 4,098.25 is: 5,655.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,892.75 : 9,512 = 4,098.25 : x
  2. Step 2: Convert to fraction form
    6,892.75/9,512 = 4,098.25/x
  3. Step 3: Cross multiply
    6,892.75x = 9,512 × 4,098.25
  4. Step 4: Simplify right side
    6,892.75x = 38,982,554
  5. Step 5: Solve for x
    x = 38,982,554/6,892.75
  6. Step 6: Final answer
    x = 5,655.59

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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.