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Finding the Fourth Proportional to 10,760.80, 16,141.20 and 6,095.20

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Solution

The fourth proportional to 10,760.80, 16,141.20 and 6,095.20 is: 9,142.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,760.80 : 16,141.20 = 6,095.20 : x
  2. Step 2: Convert to fraction form
    10,760.80/16,141.20 = 6,095.20/x
  3. Step 3: Cross multiply
    10,760.80x = 16,141.20 × 6,095.20
  4. Step 4: Simplify right side
    10,760.80x = 98,383,842.24
  5. Step 5: Solve for x
    x = 98,383,842.24/10,760.80
  6. Step 6: Final answer
    x = 9,142.80

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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.