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Finding the Fourth Proportional to 3,127.70, 4,691.53 and 937.96

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Solution

The fourth proportional to 3,127.70, 4,691.53 and 937.96 is: 1,406.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,127.70 : 4,691.53 = 937.96 : x
  2. Step 2: Convert to fraction form
    3,127.70/4,691.53 = 937.96/x
  3. Step 3: Cross multiply
    3,127.70x = 4,691.53 × 937.96
  4. Step 4: Simplify right side
    3,127.70x = 4,400,467.48
  5. Step 5: Solve for x
    x = 4,400,467.48/3,127.70
  6. Step 6: Final answer
    x = 1,406.93

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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.