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Finding the Fourth Proportional to 8,342.82, 11,513.12 and 4,616.82

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Solution

The fourth proportional to 8,342.82, 11,513.12 and 4,616.82 is: 6,371.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.82 : 11,513.12 = 4,616.82 : x
  2. Step 2: Convert to fraction form
    8,342.82/11,513.12 = 4,616.82/x
  3. Step 3: Cross multiply
    8,342.82x = 11,513.12 × 4,616.82
  4. Step 4: Simplify right side
    8,342.82x = 53,153,979.59
  5. Step 5: Solve for x
    x = 53,153,979.59/8,342.82
  6. Step 6: Final answer
    x = 6,371.22

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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.