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Finding the Fourth Proportional to 6,452.30, 9,664.05 and 4,986.70

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Solution

The fourth proportional to 6,452.30, 9,664.05 and 4,986.70 is: 7,468.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,452.30 : 9,664.05 = 4,986.70 : x
  2. Step 2: Convert to fraction form
    6,452.30/9,664.05 = 4,986.70/x
  3. Step 3: Cross multiply
    6,452.30x = 9,664.05 × 4,986.70
  4. Step 4: Simplify right side
    6,452.30x = 48,191,718.14
  5. Step 5: Solve for x
    x = 48,191,718.14/6,452.30
  6. Step 6: Final answer
    x = 7,468.92

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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.