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Finding the Fourth Proportional to 10,679.80, 16,019.70 and 9,758.20

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Solution

The fourth proportional to 10,679.80, 16,019.70 and 9,758.20 is: 14,637.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,679.80 : 16,019.70 = 9,758.20 : x
  2. Step 2: Convert to fraction form
    10,679.80/16,019.70 = 9,758.20/x
  3. Step 3: Cross multiply
    10,679.80x = 16,019.70 × 9,758.20
  4. Step 4: Simplify right side
    10,679.80x = 156,323,436.54
  5. Step 5: Solve for x
    x = 156,323,436.54/10,679.80
  6. Step 6: Final answer
    x = 14,637.30

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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.