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Finding the Fourth Proportional to 27,922.39, 41,888.77 and 9,203.74

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Solution

The fourth proportional to 27,922.39, 41,888.77 and 9,203.74 is: 13,807.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,922.39 : 41,888.77 = 9,203.74 : x
  2. Step 2: Convert to fraction form
    27,922.39/41,888.77 = 9,203.74/x
  3. Step 3: Cross multiply
    27,922.39x = 41,888.77 × 9,203.74
  4. Step 4: Simplify right side
    27,922.39x = 385,533,092.54
  5. Step 5: Solve for x
    x = 385,533,092.54/27,922.39
  6. Step 6: Final answer
    x = 13,807.31

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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.