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Finding the Fourth Proportional to 8,342.88, 11,513.17 and 4,616.88

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Solution

The fourth proportional to 8,342.88, 11,513.17 and 4,616.88 is: 6,371.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.88 : 11,513.17 = 4,616.88 : x
  2. Step 2: Convert to fraction form
    8,342.88/11,513.17 = 4,616.88/x
  3. Step 3: Cross multiply
    8,342.88x = 11,513.17 × 4,616.88
  4. Step 4: Simplify right side
    8,342.88x = 53,154,924.31
  5. Step 5: Solve for x
    x = 53,154,924.31/8,342.88
  6. Step 6: Final answer
    x = 6,371.29

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1.5x scale

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.