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Finding the Fourth Proportional to 25,996.34, 38,971.16 and 9,352.46

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Solution

The fourth proportional to 25,996.34, 38,971.16 and 9,352.46 is: 14,020.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,996.34 : 38,971.16 = 9,352.46 : x
  2. Step 2: Convert to fraction form
    25,996.34/38,971.16 = 9,352.46/x
  3. Step 3: Cross multiply
    25,996.34x = 38,971.16 × 9,352.46
  4. Step 4: Simplify right side
    25,996.34x = 364,476,215.05
  5. Step 5: Solve for x
    x = 364,476,215.05/25,996.34
  6. Step 6: Final answer
    x = 14,020.29

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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.