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Finding the Fourth Proportional to 15,721.92, 21,696.48 and 8,648.64

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Solution

The fourth proportional to 15,721.92, 21,696.48 and 8,648.64 is: 11,935.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,721.92 : 21,696.48 = 8,648.64 : x
  2. Step 2: Convert to fraction form
    15,721.92/21,696.48 = 8,648.64/x
  3. Step 3: Cross multiply
    15,721.92x = 21,696.48 × 8,648.64
  4. Step 4: Simplify right side
    15,721.92x = 187,645,044.79
  5. Step 5: Solve for x
    x = 187,645,044.79/15,721.92
  6. Step 6: Final answer
    x = 11,935.25

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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.