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Finding the Fourth Proportional to 6,102, 8,398.08 and 5,031.18

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Solution

The fourth proportional to 6,102, 8,398.08 and 5,031.18 is: 6,924.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102 : 8,398.08 = 5,031.18 : x
  2. Step 2: Convert to fraction form
    6,102/8,398.08 = 5,031.18/x
  3. Step 3: Cross multiply
    6,102x = 8,398.08 × 5,031.18
  4. Step 4: Simplify right side
    6,102x = 42,252,252.13
  5. Step 5: Solve for x
    x = 42,252,252.13/6,102
  6. Step 6: Final answer
    x = 6,924.33

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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.