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Finding the Fourth Proportional to 3,171.40, 4,757.06 and 950.24

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Solution

The fourth proportional to 3,171.40, 4,757.06 and 950.24 is: 1,425.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.40 : 4,757.06 = 950.24 : x
  2. Step 2: Convert to fraction form
    3,171.40/4,757.06 = 950.24/x
  3. Step 3: Cross multiply
    3,171.40x = 4,757.06 × 950.24
  4. Step 4: Simplify right side
    3,171.40x = 4,520,362.96
  5. Step 5: Solve for x
    x = 4,520,362.96/3,171.40
  6. Step 6: Final answer
    x = 1,425.35

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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.