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Finding the Fourth Proportional to 6,352.40, 8,766.96 and 3,699.65

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Solution

The fourth proportional to 6,352.40, 8,766.96 and 3,699.65 is: 5,105.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,352.40 : 8,766.96 = 3,699.65 : x
  2. Step 2: Convert to fraction form
    6,352.40/8,766.96 = 3,699.65/x
  3. Step 3: Cross multiply
    6,352.40x = 8,766.96 × 3,699.65
  4. Step 4: Simplify right side
    6,352.40x = 32,434,683.56
  5. Step 5: Solve for x
    x = 32,434,683.56/6,352.40
  6. Step 6: Final answer
    x = 5,105.89

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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.