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Finding the Fourth Proportional to 9,789.68, 13,504.10 and 6,248.90

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Solution

The fourth proportional to 9,789.68, 13,504.10 and 6,248.90 is: 8,619.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,789.68 : 13,504.10 = 6,248.90 : x
  2. Step 2: Convert to fraction form
    9,789.68/13,504.10 = 6,248.90/x
  3. Step 3: Cross multiply
    9,789.68x = 13,504.10 × 6,248.90
  4. Step 4: Simplify right side
    9,789.68x = 84,385,770.49
  5. Step 5: Solve for x
    x = 84,385,770.49/9,789.68
  6. Step 6: Final answer
    x = 8,619.87

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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.