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Finding the Fourth Proportional to 6,452.65, 9,684.85 and 3,334.76

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Solution

The fourth proportional to 6,452.65, 9,684.85 and 3,334.76 is: 5,005.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,452.65 : 9,684.85 = 3,334.76 : x
  2. Step 2: Convert to fraction form
    6,452.65/9,684.85 = 3,334.76/x
  3. Step 3: Cross multiply
    6,452.65x = 9,684.85 × 3,334.76
  4. Step 4: Simplify right side
    6,452.65x = 32,296,650.39
  5. Step 5: Solve for x
    x = 32,296,650.39/6,452.65
  6. Step 6: Final answer
    x = 5,005.18

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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.