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Finding the Fourth Proportional to 6,926.08, 9,552 and 6,304

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Solution

The fourth proportional to 6,926.08, 9,552 and 6,304 is: 8,694.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,926.08 : 9,552 = 6,304 : x
  2. Step 2: Convert to fraction form
    6,926.08/9,552 = 6,304/x
  3. Step 3: Cross multiply
    6,926.08x = 9,552 × 6,304
  4. Step 4: Simplify right side
    6,926.08x = 60,215,808
  5. Step 5: Solve for x
    x = 60,215,808/6,926.08
  6. Step 6: Final answer
    x = 8,694.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.