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Finding the Fourth Proportional to 6,295.41, 8,685.90 and 3,642.66

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Solution

The fourth proportional to 6,295.41, 8,685.90 and 3,642.66 is: 5,025.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,295.41 : 8,685.90 = 3,642.66 : x
  2. Step 2: Convert to fraction form
    6,295.41/8,685.90 = 3,642.66/x
  3. Step 3: Cross multiply
    6,295.41x = 8,685.90 × 3,642.66
  4. Step 4: Simplify right side
    6,295.41x = 31,639,780.49
  5. Step 5: Solve for x
    x = 31,639,780.49/6,295.41
  6. Step 6: Final answer
    x = 5,025.85

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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.