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Finding the Fourth Proportional to 6,929.28, 10,367.76 and 6,554.16

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Solution

The fourth proportional to 6,929.28, 10,367.76 and 6,554.16 is: 9,806.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,929.28 : 10,367.76 = 6,554.16 : x
  2. Step 2: Convert to fraction form
    6,929.28/10,367.76 = 6,554.16/x
  3. Step 3: Cross multiply
    6,929.28x = 10,367.76 × 6,554.16
  4. Step 4: Simplify right side
    6,929.28x = 67,951,957.88
  5. Step 5: Solve for x
    x = 67,951,957.88/6,929.28
  6. Step 6: Final answer
    x = 9,806.50

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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.