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Finding the Fourth Proportional to 17,184.46, 25,773.60 and 7,822.30

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Solution

The fourth proportional to 17,184.46, 25,773.60 and 7,822.30 is: 11,732.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,184.46 : 25,773.60 = 7,822.30 : x
  2. Step 2: Convert to fraction form
    17,184.46/25,773.60 = 7,822.30/x
  3. Step 3: Cross multiply
    17,184.46x = 25,773.60 × 7,822.30
  4. Step 4: Simplify right side
    17,184.46x = 201,608,831.28
  5. Step 5: Solve for x
    x = 201,608,831.28/17,184.46
  6. Step 6: Final answer
    x = 11,732.04

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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.