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Finding the Fourth Proportional to 10,482.73, 15,724.14 and 9,957.19

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Solution

The fourth proportional to 10,482.73, 15,724.14 and 9,957.19 is: 14,935.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,482.73 : 15,724.14 = 9,957.19 : x
  2. Step 2: Convert to fraction form
    10,482.73/15,724.14 = 9,957.19/x
  3. Step 3: Cross multiply
    10,482.73x = 15,724.14 × 9,957.19
  4. Step 4: Simplify right side
    10,482.73x = 156,568,249.57
  5. Step 5: Solve for x
    x = 156,568,249.57/10,482.73
  6. Step 6: Final answer
    x = 14,935.83

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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.