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Finding the Fourth Proportional to 7,148.69, 10,723.11 and 1,884.46

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Solution

The fourth proportional to 7,148.69, 10,723.11 and 1,884.46 is: 2,826.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.69 : 10,723.11 = 1,884.46 : x
  2. Step 2: Convert to fraction form
    7,148.69/10,723.11 = 1,884.46/x
  3. Step 3: Cross multiply
    7,148.69x = 10,723.11 × 1,884.46
  4. Step 4: Simplify right side
    7,148.69x = 20,207,245.06
  5. Step 5: Solve for x
    x = 20,207,245.06/7,148.69
  6. Step 6: Final answer
    x = 2,826.71

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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.