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Finding the Fourth Proportional to 25,746.29, 38,620.11 and 8,216.10

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Solution

The fourth proportional to 25,746.29, 38,620.11 and 8,216.10 is: 12,324.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,746.29 : 38,620.11 = 8,216.10 : x
  2. Step 2: Convert to fraction form
    25,746.29/38,620.11 = 8,216.10/x
  3. Step 3: Cross multiply
    25,746.29x = 38,620.11 × 8,216.10
  4. Step 4: Simplify right side
    25,746.29x = 317,306,734.05
  5. Step 5: Solve for x
    x = 317,306,734.05/25,746.29
  6. Step 6: Final answer
    x = 12,324.37

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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.