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Finding the Fourth Proportional to 22,991.25, 34,458.02 and 9,828.15

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Solution

The fourth proportional to 22,991.25, 34,458.02 and 9,828.15 is: 14,729.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,991.25 : 34,458.02 = 9,828.15 : x
  2. Step 2: Convert to fraction form
    22,991.25/34,458.02 = 9,828.15/x
  3. Step 3: Cross multiply
    22,991.25x = 34,458.02 × 9,828.15
  4. Step 4: Simplify right side
    22,991.25x = 338,658,589.26
  5. Step 5: Solve for x
    x = 338,658,589.26/22,991.25
  6. Step 6: Final answer
    x = 14,729.89

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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.