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Finding the Fourth Proportional to 11,042.92, 15,238.92 and 6,007.06

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Solution

The fourth proportional to 11,042.92, 15,238.92 and 6,007.06 is: 8,289.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,042.92 : 15,238.92 = 6,007.06 : x
  2. Step 2: Convert to fraction form
    11,042.92/15,238.92 = 6,007.06/x
  3. Step 3: Cross multiply
    11,042.92x = 15,238.92 × 6,007.06
  4. Step 4: Simplify right side
    11,042.92x = 91,541,106.78
  5. Step 5: Solve for x
    x = 91,541,106.78/11,042.92
  6. Step 6: Final answer
    x = 8,289.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.