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Finding the Fourth Proportional to 6,468.48, 9,704.04 and 2,308.08

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Solution

The fourth proportional to 6,468.48, 9,704.04 and 2,308.08 is: 3,462.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.48 : 9,704.04 = 2,308.08 : x
  2. Step 2: Convert to fraction form
    6,468.48/9,704.04 = 2,308.08/x
  3. Step 3: Cross multiply
    6,468.48x = 9,704.04 × 2,308.08
  4. Step 4: Simplify right side
    6,468.48x = 22,397,700.64
  5. Step 5: Solve for x
    x = 22,397,700.64/6,468.48
  6. Step 6: Final answer
    x = 3,462.59

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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.