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Finding the Fourth Proportional to 3,142.08, 4,713.42 and 950.42

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Solution

The fourth proportional to 3,142.08, 4,713.42 and 950.42 is: 1,425.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.08 : 4,713.42 = 950.42 : x
  2. Step 2: Convert to fraction form
    3,142.08/4,713.42 = 950.42/x
  3. Step 3: Cross multiply
    3,142.08x = 4,713.42 × 950.42
  4. Step 4: Simplify right side
    3,142.08x = 4,479,728.64
  5. Step 5: Solve for x
    x = 4,479,728.64/3,142.08
  6. Step 6: Final answer
    x = 1,425.72

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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.