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Finding the Fourth Proportional to 8,384, 11,569.92 and 5,071.36

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Solution

The fourth proportional to 8,384, 11,569.92 and 5,071.36 is: 6,998.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384 : 11,569.92 = 5,071.36 : x
  2. Step 2: Convert to fraction form
    8,384/11,569.92 = 5,071.36/x
  3. Step 3: Cross multiply
    8,384x = 11,569.92 × 5,071.36
  4. Step 4: Simplify right side
    8,384x = 58,675,229.49
  5. Step 5: Solve for x
    x = 58,675,229.49/8,384
  6. Step 6: Final answer
    x = 6,998.48

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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.