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Finding the Fourth Proportional to 9,616.88, 14,425.44 and 5,510

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Solution

The fourth proportional to 9,616.88, 14,425.44 and 5,510 is: 8,265.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.88 : 14,425.44 = 5,510 : x
  2. Step 2: Convert to fraction form
    9,616.88/14,425.44 = 5,510/x
  3. Step 3: Cross multiply
    9,616.88x = 14,425.44 × 5,510
  4. Step 4: Simplify right side
    9,616.88x = 79,484,174.40
  5. Step 5: Solve for x
    x = 79,484,174.40/9,616.88
  6. Step 6: Final answer
    x = 8,265.07

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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.