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Finding the Fourth Proportional to 6,452.20, 9,679.04 and 1,835.20

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Solution

The fourth proportional to 6,452.20, 9,679.04 and 1,835.20 is: 2,753.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,452.20 : 9,679.04 = 1,835.20 : x
  2. Step 2: Convert to fraction form
    6,452.20/9,679.04 = 1,835.20/x
  3. Step 3: Cross multiply
    6,452.20x = 9,679.04 × 1,835.20
  4. Step 4: Simplify right side
    6,452.20x = 17,762,974.21
  5. Step 5: Solve for x
    x = 17,762,974.21/6,452.20
  6. Step 6: Final answer
    x = 2,753.01

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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.