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Finding the Fourth Proportional to 3,710.75, 5,566.17 and 974.75

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Solution

The fourth proportional to 3,710.75, 5,566.17 and 974.75 is: 1,462.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.75 : 5,566.17 = 974.75 : x
  2. Step 2: Convert to fraction form
    3,710.75/5,566.17 = 974.75/x
  3. Step 3: Cross multiply
    3,710.75x = 5,566.17 × 974.75
  4. Step 4: Simplify right side
    3,710.75x = 5,425,624.21
  5. Step 5: Solve for x
    x = 5,425,624.21/3,710.75
  6. Step 6: Final answer
    x = 1,462.14

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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.