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Finding the Fourth Proportional to 22,522.47, 33,784.40 and 7,731.19

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Solution

The fourth proportional to 22,522.47, 33,784.40 and 7,731.19 is: 11,597.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,522.47 : 33,784.40 = 7,731.19 : x
  2. Step 2: Convert to fraction form
    22,522.47/33,784.40 = 7,731.19/x
  3. Step 3: Cross multiply
    22,522.47x = 33,784.40 × 7,731.19
  4. Step 4: Simplify right side
    22,522.47x = 261,193,615.44
  5. Step 5: Solve for x
    x = 261,193,615.44/22,522.47
  6. Step 6: Final answer
    x = 11,597.02

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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.