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Finding the Fourth Proportional to 25,799.14, 38,705.16 and 7,331.14

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Solution

The fourth proportional to 25,799.14, 38,705.16 and 7,331.14 is: 10,998.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,799.14 : 38,705.16 = 7,331.14 : x
  2. Step 2: Convert to fraction form
    25,799.14/38,705.16 = 7,331.14/x
  3. Step 3: Cross multiply
    25,799.14x = 38,705.16 × 7,331.14
  4. Step 4: Simplify right side
    25,799.14x = 283,752,946.68
  5. Step 5: Solve for x
    x = 283,752,946.68/25,799.14
  6. Step 6: Final answer
    x = 10,998.54

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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.