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Finding the Fourth Proportional to 7,042.76, 10,578.94 and 4,447.56

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Solution

The fourth proportional to 7,042.76, 10,578.94 and 4,447.56 is: 6,680.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,042.76 : 10,578.94 = 4,447.56 : x
  2. Step 2: Convert to fraction form
    7,042.76/10,578.94 = 4,447.56/x
  3. Step 3: Cross multiply
    7,042.76x = 10,578.94 × 4,447.56
  4. Step 4: Simplify right side
    7,042.76x = 47,050,470.39
  5. Step 5: Solve for x
    x = 47,050,470.39/7,042.76
  6. Step 6: Final answer
    x = 6,680.69

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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.