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Finding the Fourth Proportional to 25,763.76, 38,648.52 and 8,229.60

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Solution

The fourth proportional to 25,763.76, 38,648.52 and 8,229.60 is: 12,345.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,763.76 : 38,648.52 = 8,229.60 : x
  2. Step 2: Convert to fraction form
    25,763.76/38,648.52 = 8,229.60/x
  3. Step 3: Cross multiply
    25,763.76x = 38,648.52 × 8,229.60
  4. Step 4: Simplify right side
    25,763.76x = 318,061,860.19
  5. Step 5: Solve for x
    x = 318,061,860.19/25,763.76
  6. Step 6: Final answer
    x = 12,345.32

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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.