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Finding the Fourth Proportional to 5,630.26, 7,764.51 and 4,454.14

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Solution

The fourth proportional to 5,630.26, 7,764.51 and 4,454.14 is: 6,142.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,630.26 : 7,764.51 = 4,454.14 : x
  2. Step 2: Convert to fraction form
    5,630.26/7,764.51 = 4,454.14/x
  3. Step 3: Cross multiply
    5,630.26x = 7,764.51 × 4,454.14
  4. Step 4: Simplify right side
    5,630.26x = 34,584,214.57
  5. Step 5: Solve for x
    x = 34,584,214.57/5,630.26
  6. Step 6: Final answer
    x = 6,142.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.