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Finding the Fourth Proportional to 3,742.49, 5,613.73 and 969.44

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Solution

The fourth proportional to 3,742.49, 5,613.73 and 969.44 is: 1,454.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.49 : 5,613.73 = 969.44 : x
  2. Step 2: Convert to fraction form
    3,742.49/5,613.73 = 969.44/x
  3. Step 3: Cross multiply
    3,742.49x = 5,613.73 × 969.44
  4. Step 4: Simplify right side
    3,742.49x = 5,442,174.41
  5. Step 5: Solve for x
    x = 5,442,174.41/3,742.49
  6. Step 6: Final answer
    x = 1,454.16

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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.