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Finding the Fourth Proportional to 6,354.24, 9,530.20 and 2,655.48

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Solution

The fourth proportional to 6,354.24, 9,530.20 and 2,655.48 is: 3,982.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.24 : 9,530.20 = 2,655.48 : x
  2. Step 2: Convert to fraction form
    6,354.24/9,530.20 = 2,655.48/x
  3. Step 3: Cross multiply
    6,354.24x = 9,530.20 × 2,655.48
  4. Step 4: Simplify right side
    6,354.24x = 25,307,255.50
  5. Step 5: Solve for x
    x = 25,307,255.50/6,354.24
  6. Step 6: Final answer
    x = 3,982.74

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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.