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Finding the Fourth Proportional to 6,584.67, 9,877.31 and 3,660.77

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Solution

The fourth proportional to 6,584.67, 9,877.31 and 3,660.77 is: 5,491.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.67 : 9,877.31 = 3,660.77 : x
  2. Step 2: Convert to fraction form
    6,584.67/9,877.31 = 3,660.77/x
  3. Step 3: Cross multiply
    6,584.67x = 9,877.31 × 3,660.77
  4. Step 4: Simplify right side
    6,584.67x = 36,158,560.13
  5. Step 5: Solve for x
    x = 36,158,560.13/6,584.67
  6. Step 6: Final answer
    x = 5,491.32

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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.