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Finding the Fourth Proportional to 5,466.53, 7,544.13 and 4,138.13

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Solution

The fourth proportional to 5,466.53, 7,544.13 and 4,138.13 is: 5,710.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,466.53 : 7,544.13 = 4,138.13 : x
  2. Step 2: Convert to fraction form
    5,466.53/7,544.13 = 4,138.13/x
  3. Step 3: Cross multiply
    5,466.53x = 7,544.13 × 4,138.13
  4. Step 4: Simplify right side
    5,466.53x = 31,218,590.68
  5. Step 5: Solve for x
    x = 31,218,590.68/5,466.53
  6. Step 6: Final answer
    x = 5,710.86

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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.