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Finding the Fourth Proportional to 13,758.96, 20,621.76 and 6,348

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Solution

The fourth proportional to 13,758.96, 20,621.76 and 6,348 is: 9,514.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,758.96 : 20,621.76 = 6,348 : x
  2. Step 2: Convert to fraction form
    13,758.96/20,621.76 = 6,348/x
  3. Step 3: Cross multiply
    13,758.96x = 20,621.76 × 6,348
  4. Step 4: Simplify right side
    13,758.96x = 130,906,932.48
  5. Step 5: Solve for x
    x = 130,906,932.48/13,758.96
  6. Step 6: Final answer
    x = 9,514.30

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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.