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Finding the Fourth Proportional to 6,294.88, 8,684.40 and 3,806.56

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Solution

The fourth proportional to 6,294.88, 8,684.40 and 3,806.56 is: 5,251.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294.88 : 8,684.40 = 3,806.56 : x
  2. Step 2: Convert to fraction form
    6,294.88/8,684.40 = 3,806.56/x
  3. Step 3: Cross multiply
    6,294.88x = 8,684.40 × 3,806.56
  4. Step 4: Simplify right side
    6,294.88x = 33,057,689.66
  5. Step 5: Solve for x
    x = 33,057,689.66/6,294.88
  6. Step 6: Final answer
    x = 5,251.52

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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.