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Finding the Fourth Proportional to 6,524.67, 9,780.56 and 4,177.99

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Solution

The fourth proportional to 6,524.67, 9,780.56 and 4,177.99 is: 6,262.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,524.67 : 9,780.56 = 4,177.99 : x
  2. Step 2: Convert to fraction form
    6,524.67/9,780.56 = 4,177.99/x
  3. Step 3: Cross multiply
    6,524.67x = 9,780.56 × 4,177.99
  4. Step 4: Simplify right side
    6,524.67x = 40,863,081.87
  5. Step 5: Solve for x
    x = 40,863,081.87/6,524.67
  6. Step 6: Final answer
    x = 6,262.86

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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.