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Finding the Fourth Proportional to 4,587.62, 6,843.22 and 4,144.70

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Solution

The fourth proportional to 4,587.62, 6,843.22 and 4,144.70 is: 6,182.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,587.62 : 6,843.22 = 4,144.70 : x
  2. Step 2: Convert to fraction form
    4,587.62/6,843.22 = 4,144.70/x
  3. Step 3: Cross multiply
    4,587.62x = 6,843.22 × 4,144.70
  4. Step 4: Simplify right side
    4,587.62x = 28,363,093.93
  5. Step 5: Solve for x
    x = 28,363,093.93/4,587.62
  6. Step 6: Final answer
    x = 6,182.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.