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Finding the Fourth Proportional to 7,094.92, 10,644 and 3,398.08

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Solution

The fourth proportional to 7,094.92, 10,644 and 3,398.08 is: 5,097.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,094.92 : 10,644 = 3,398.08 : x
  2. Step 2: Convert to fraction form
    7,094.92/10,644 = 3,398.08/x
  3. Step 3: Cross multiply
    7,094.92x = 10,644 × 3,398.08
  4. Step 4: Simplify right side
    7,094.92x = 36,169,163.52
  5. Step 5: Solve for x
    x = 36,169,163.52/7,094.92
  6. Step 6: Final answer
    x = 5,097.90

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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.