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Finding the Fourth Proportional to 6,348, 8,760.24 and 3,864

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Solution

The fourth proportional to 6,348, 8,760.24 and 3,864 is: 5,332.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348 : 8,760.24 = 3,864 : x
  2. Step 2: Convert to fraction form
    6,348/8,760.24 = 3,864/x
  3. Step 3: Cross multiply
    6,348x = 8,760.24 × 3,864
  4. Step 4: Simplify right side
    6,348x = 33,849,567.36
  5. Step 5: Solve for x
    x = 33,849,567.36/6,348
  6. Step 6: Final answer
    x = 5,332.32

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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.