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Finding the Fourth Proportional to 25,881.14, 38,822.47 and 7,161.33

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Solution

The fourth proportional to 25,881.14, 38,822.47 and 7,161.33 is: 10,742.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,881.14 : 38,822.47 = 7,161.33 : x
  2. Step 2: Convert to fraction form
    25,881.14/38,822.47 = 7,161.33/x
  3. Step 3: Cross multiply
    25,881.14x = 38,822.47 × 7,161.33
  4. Step 4: Simplify right side
    25,881.14x = 278,020,519.09
  5. Step 5: Solve for x
    x = 278,020,519.09/25,881.14
  6. Step 6: Final answer
    x = 10,742.21

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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.