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Finding the Fourth Proportional to 9,679.80, 14,498.82 and 6,542.58

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Solution

The fourth proportional to 9,679.80, 14,498.82 and 6,542.58 is: 9,799.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,679.80 : 14,498.82 = 6,542.58 : x
  2. Step 2: Convert to fraction form
    9,679.80/14,498.82 = 6,542.58/x
  3. Step 3: Cross multiply
    9,679.80x = 14,498.82 × 6,542.58
  4. Step 4: Simplify right side
    9,679.80x = 94,859,689.76
  5. Step 5: Solve for x
    x = 94,859,689.76/9,679.80
  6. Step 6: Final answer
    x = 9,799.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.