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Finding the Fourth Proportional to 6,452, 9,659.64 and 4,254.02

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Solution

The fourth proportional to 6,452, 9,659.64 and 4,254.02 is: 6,368.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,452 : 9,659.64 = 4,254.02 : x
  2. Step 2: Convert to fraction form
    6,452/9,659.64 = 4,254.02/x
  3. Step 3: Cross multiply
    6,452x = 9,659.64 × 4,254.02
  4. Step 4: Simplify right side
    6,452x = 41,092,301.75
  5. Step 5: Solve for x
    x = 41,092,301.75/6,452
  6. Step 6: Final answer
    x = 6,368.92

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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.