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Finding the Fourth Proportional to 15,200.09, 22,800.15 and 5,966.09

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Solution

The fourth proportional to 15,200.09, 22,800.15 and 5,966.09 is: 8,949.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,200.09 : 22,800.15 = 5,966.09 : x
  2. Step 2: Convert to fraction form
    15,200.09/22,800.15 = 5,966.09/x
  3. Step 3: Cross multiply
    15,200.09x = 22,800.15 × 5,966.09
  4. Step 4: Simplify right side
    15,200.09x = 136,027,632.91
  5. Step 5: Solve for x
    x = 136,027,632.91/15,200.09
  6. Step 6: Final answer
    x = 8,949.14

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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.