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Finding the Fourth Proportional to 6,347.20, 8,575.20 and 6,347.20

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Solution

The fourth proportional to 6,347.20, 8,575.20 and 6,347.20 is: 8,575.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,347.20 : 8,575.20 = 6,347.20 : x
  2. Step 2: Convert to fraction form
    6,347.20/8,575.20 = 6,347.20/x
  3. Step 3: Cross multiply
    6,347.20x = 8,575.20 × 6,347.20
  4. Step 4: Simplify right side
    6,347.20x = 54,428,509.44
  5. Step 5: Solve for x
    x = 54,428,509.44/6,347.20
  6. Step 6: Final answer
    x = 8,575.20

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.