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Finding the Fourth Proportional to 15,133.20, 22,707.12 and 6,819.12

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Solution

The fourth proportional to 15,133.20, 22,707.12 and 6,819.12 is: 10,231.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,133.20 : 22,707.12 = 6,819.12 : x
  2. Step 2: Convert to fraction form
    15,133.20/22,707.12 = 6,819.12/x
  3. Step 3: Cross multiply
    15,133.20x = 22,707.12 × 6,819.12
  4. Step 4: Simplify right side
    15,133.20x = 154,842,576.13
  5. Step 5: Solve for x
    x = 154,842,576.13/15,133.20
  6. Step 6: Final answer
    x = 10,231.98

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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.