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Finding the Fourth Proportional to 3,743.19, 5,614.76 and 969.85

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Solution

The fourth proportional to 3,743.19, 5,614.76 and 969.85 is: 1,454.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,743.19 : 5,614.76 = 969.85 : x
  2. Step 2: Convert to fraction form
    3,743.19/5,614.76 = 969.85/x
  3. Step 3: Cross multiply
    3,743.19x = 5,614.76 × 969.85
  4. Step 4: Simplify right side
    3,743.19x = 5,445,487.81
  5. Step 5: Solve for x
    x = 5,445,487.81/3,743.19
  6. Step 6: Final answer
    x = 1,454.77

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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.