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Finding the Fourth Proportional to 15,107.54, 22,675.41 and 7,717.30

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Solution

The fourth proportional to 15,107.54, 22,675.41 and 7,717.30 is: 11,583.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,107.54 : 22,675.41 = 7,717.30 : x
  2. Step 2: Convert to fraction form
    15,107.54/22,675.41 = 7,717.30/x
  3. Step 3: Cross multiply
    15,107.54x = 22,675.41 × 7,717.30
  4. Step 4: Simplify right side
    15,107.54x = 174,992,884.90
  5. Step 5: Solve for x
    x = 174,992,884.90/15,107.54
  6. Step 6: Final answer
    x = 11,583.15

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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.