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Finding the Fourth Proportional to 9,696.48, 14,532.76 and 6,908

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Solution

The fourth proportional to 9,696.48, 14,532.76 and 6,908 is: 10,353.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.48 : 14,532.76 = 6,908 : x
  2. Step 2: Convert to fraction form
    9,696.48/14,532.76 = 6,908/x
  3. Step 3: Cross multiply
    9,696.48x = 14,532.76 × 6,908
  4. Step 4: Simplify right side
    9,696.48x = 100,392,306.08
  5. Step 5: Solve for x
    x = 100,392,306.08/9,696.48
  6. Step 6: Final answer
    x = 10,353.48

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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.