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Finding the Fourth Proportional to 8,295, 12,442.54 and 2,451.48

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Solution

The fourth proportional to 8,295, 12,442.54 and 2,451.48 is: 3,677.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,295 : 12,442.54 = 2,451.48 : x
  2. Step 2: Convert to fraction form
    8,295/12,442.54 = 2,451.48/x
  3. Step 3: Cross multiply
    8,295x = 12,442.54 × 2,451.48
  4. Step 4: Simplify right side
    8,295x = 30,502,637.96
  5. Step 5: Solve for x
    x = 30,502,637.96/8,295
  6. Step 6: Final answer
    x = 3,677.23

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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.