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Finding the Fourth Proportional to 3,744.50, 5,616.73 and 971.17

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Solution

The fourth proportional to 3,744.50, 5,616.73 and 971.17 is: 1,456.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.50 : 5,616.73 = 971.17 : x
  2. Step 2: Convert to fraction form
    3,744.50/5,616.73 = 971.17/x
  3. Step 3: Cross multiply
    3,744.50x = 5,616.73 × 971.17
  4. Step 4: Simplify right side
    3,744.50x = 5,454,799.67
  5. Step 5: Solve for x
    x = 5,454,799.67/3,744.50
  6. Step 6: Final answer
    x = 1,456.75

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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.