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Finding the Fourth Proportional to 15,952.26, 21,999.79 and 9,984.48

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Solution

The fourth proportional to 15,952.26, 21,999.79 and 9,984.48 is: 13,769.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,952.26 : 21,999.79 = 9,984.48 : x
  2. Step 2: Convert to fraction form
    15,952.26/21,999.79 = 9,984.48/x
  3. Step 3: Cross multiply
    15,952.26x = 21,999.79 × 9,984.48
  4. Step 4: Simplify right side
    15,952.26x = 219,656,463.26
  5. Step 5: Solve for x
    x = 219,656,463.26/15,952.26
  6. Step 6: Final answer
    x = 13,769.61

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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.