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Finding the Fourth Proportional to 10,107.44, 15,158.28 and 3,950

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Solution

The fourth proportional to 10,107.44, 15,158.28 and 3,950 is: 5,923.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,107.44 : 15,158.28 = 3,950 : x
  2. Step 2: Convert to fraction form
    10,107.44/15,158.28 = 3,950/x
  3. Step 3: Cross multiply
    10,107.44x = 15,158.28 × 3,950
  4. Step 4: Simplify right side
    10,107.44x = 59,875,206
  5. Step 5: Solve for x
    x = 59,875,206/10,107.44
  6. Step 6: Final answer
    x = 5,923.87

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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.