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Finding the Fourth Proportional to 6,524.57, 9,786.86 and 4,585.43

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Solution

The fourth proportional to 6,524.57, 9,786.86 and 4,585.43 is: 6,878.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,524.57 : 9,786.86 = 4,585.43 : x
  2. Step 2: Convert to fraction form
    6,524.57/9,786.86 = 4,585.43/x
  3. Step 3: Cross multiply
    6,524.57x = 9,786.86 × 4,585.43
  4. Step 4: Simplify right side
    6,524.57x = 44,876,938.52
  5. Step 5: Solve for x
    x = 44,876,938.52/6,524.57
  6. Step 6: Final answer
    x = 6,878.15

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Double scale
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Similar ratio
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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.