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Finding the Fourth Proportional to 7,243.74, 10,865.70 and 2,049.62

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Solution

The fourth proportional to 7,243.74, 10,865.70 and 2,049.62 is: 3,074.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,243.74 : 10,865.70 = 2,049.62 : x
  2. Step 2: Convert to fraction form
    7,243.74/10,865.70 = 2,049.62/x
  3. Step 3: Cross multiply
    7,243.74x = 10,865.70 × 2,049.62
  4. Step 4: Simplify right side
    7,243.74x = 22,270,501.71
  5. Step 5: Solve for x
    x = 22,270,501.71/7,243.74
  6. Step 6: Final answer
    x = 3,074.45

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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.