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Finding the Fourth Proportional to 6,469.76, 9,701.76 and 3,008

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Solution

The fourth proportional to 6,469.76, 9,701.76 and 3,008 is: 4,510.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.76 : 9,701.76 = 3,008 : x
  2. Step 2: Convert to fraction form
    6,469.76/9,701.76 = 3,008/x
  3. Step 3: Cross multiply
    6,469.76x = 9,701.76 × 3,008
  4. Step 4: Simplify right side
    6,469.76x = 29,182,894.08
  5. Step 5: Solve for x
    x = 29,182,894.08/6,469.76
  6. Step 6: Final answer
    x = 4,510.66

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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.