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Finding the Fourth Proportional to 6,551.62, 9,050.42 and 5,843.24

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Solution

The fourth proportional to 6,551.62, 9,050.42 and 5,843.24 is: 8,071.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,551.62 : 9,050.42 = 5,843.24 : x
  2. Step 2: Convert to fraction form
    6,551.62/9,050.42 = 5,843.24/x
  3. Step 3: Cross multiply
    6,551.62x = 9,050.42 × 5,843.24
  4. Step 4: Simplify right side
    6,551.62x = 52,883,745.52
  5. Step 5: Solve for x
    x = 52,883,745.52/6,551.62
  6. Step 6: Final answer
    x = 8,071.86

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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.