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Finding the Fourth Proportional to 27,921.47, 41,866.37 and 9,196.42

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Solution

The fourth proportional to 27,921.47, 41,866.37 and 9,196.42 is: 13,789.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,921.47 : 41,866.37 = 9,196.42 : x
  2. Step 2: Convert to fraction form
    27,921.47/41,866.37 = 9,196.42/x
  3. Step 3: Cross multiply
    27,921.47x = 41,866.37 × 9,196.42
  4. Step 4: Simplify right side
    27,921.47x = 385,020,722.40
  5. Step 5: Solve for x
    x = 385,020,722.40/27,921.47
  6. Step 6: Final answer
    x = 13,789.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.