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Finding the Fourth Proportional to 6,205.56, 8,561.58 and 3,687

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Solution

The fourth proportional to 6,205.56, 8,561.58 and 3,687 is: 5,086.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.56 : 8,561.58 = 3,687 : x
  2. Step 2: Convert to fraction form
    6,205.56/8,561.58 = 3,687/x
  3. Step 3: Cross multiply
    6,205.56x = 8,561.58 × 3,687
  4. Step 4: Simplify right side
    6,205.56x = 31,566,545.46
  5. Step 5: Solve for x
    x = 31,566,545.46/6,205.56
  6. Step 6: Final answer
    x = 5,086.82

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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.