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Finding the Fourth Proportional to 6,688.34, 9,229.76 and 3,704

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Solution

The fourth proportional to 6,688.34, 9,229.76 and 3,704 is: 5,111.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,688.34 : 9,229.76 = 3,704 : x
  2. Step 2: Convert to fraction form
    6,688.34/9,229.76 = 3,704/x
  3. Step 3: Cross multiply
    6,688.34x = 9,229.76 × 3,704
  4. Step 4: Simplify right side
    6,688.34x = 34,187,031.04
  5. Step 5: Solve for x
    x = 34,187,031.04/6,688.34
  6. Step 6: Final answer
    x = 5,111.44

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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.