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Finding the Fourth Proportional to 23,205.78, 34,808.31 and 7,410.71

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Solution

The fourth proportional to 23,205.78, 34,808.31 and 7,410.71 is: 11,115.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,205.78 : 34,808.31 = 7,410.71 : x
  2. Step 2: Convert to fraction form
    23,205.78/34,808.31 = 7,410.71/x
  3. Step 3: Cross multiply
    23,205.78x = 34,808.31 × 7,410.71
  4. Step 4: Simplify right side
    23,205.78x = 257,954,378.02
  5. Step 5: Solve for x
    x = 257,954,378.02/23,205.78
  6. Step 6: Final answer
    x = 11,115.95

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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.