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Finding the Fourth Proportional to 25,881.42, 38,824.56 and 9,243.22

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Solution

The fourth proportional to 25,881.42, 38,824.56 and 9,243.22 is: 13,865.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,881.42 : 38,824.56 = 9,243.22 : x
  2. Step 2: Convert to fraction form
    25,881.42/38,824.56 = 9,243.22/x
  3. Step 3: Cross multiply
    25,881.42x = 38,824.56 × 9,243.22
  4. Step 4: Simplify right side
    25,881.42x = 358,863,949.48
  5. Step 5: Solve for x
    x = 358,863,949.48/25,881.42
  6. Step 6: Final answer
    x = 13,865.70

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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.