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Finding the Fourth Proportional to 6,911.30, 10,357.68 and 6,468.43

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Solution

The fourth proportional to 6,911.30, 10,357.68 and 6,468.43 is: 9,693.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.30 : 10,357.68 = 6,468.43 : x
  2. Step 2: Convert to fraction form
    6,911.30/10,357.68 = 6,468.43/x
  3. Step 3: Cross multiply
    6,911.30x = 10,357.68 × 6,468.43
  4. Step 4: Simplify right side
    6,911.30x = 66,997,965.25
  5. Step 5: Solve for x
    x = 66,997,965.25/6,911.30
  6. Step 6: Final answer
    x = 9,693.98

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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.