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Finding the Fourth Proportional to 8,042.92, 12,042.51 and 6,803.62

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Solution

The fourth proportional to 8,042.92, 12,042.51 and 6,803.62 is: 10,186.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,042.92 : 12,042.51 = 6,803.62 : x
  2. Step 2: Convert to fraction form
    8,042.92/12,042.51 = 6,803.62/x
  3. Step 3: Cross multiply
    8,042.92x = 12,042.51 × 6,803.62
  4. Step 4: Simplify right side
    8,042.92x = 81,932,661.89
  5. Step 5: Solve for x
    x = 81,932,661.89/8,042.92
  6. Step 6: Final answer
    x = 10,186.93

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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.