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Finding the Fourth Proportional to 25,886.97, 38,824.92 and 8,352.09

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Solution

The fourth proportional to 25,886.97, 38,824.92 and 8,352.09 is: 12,526.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,886.97 : 38,824.92 = 8,352.09 : x
  2. Step 2: Convert to fraction form
    25,886.97/38,824.92 = 8,352.09/x
  3. Step 3: Cross multiply
    25,886.97x = 38,824.92 × 8,352.09
  4. Step 4: Simplify right side
    25,886.97x = 324,269,226.08
  5. Step 5: Solve for x
    x = 324,269,226.08/25,886.97
  6. Step 6: Final answer
    x = 12,526.35

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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.