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Finding the Fourth Proportional to 10,352.80, 15,529.20 and 9,149.95

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Solution

The fourth proportional to 10,352.80, 15,529.20 and 9,149.95 is: 13,724.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,352.80 : 15,529.20 = 9,149.95 : x
  2. Step 2: Convert to fraction form
    10,352.80/15,529.20 = 9,149.95/x
  3. Step 3: Cross multiply
    10,352.80x = 15,529.20 × 9,149.95
  4. Step 4: Simplify right side
    10,352.80x = 142,091,403.54
  5. Step 5: Solve for x
    x = 142,091,403.54/10,352.80
  6. Step 6: Final answer
    x = 13,724.93

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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.