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Finding the Fourth Proportional to 5,195.48, 7,793.21 and 1,497.71

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Solution

The fourth proportional to 5,195.48, 7,793.21 and 1,497.71 is: 2,246.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,195.48 : 7,793.21 = 1,497.71 : x
  2. Step 2: Convert to fraction form
    5,195.48/7,793.21 = 1,497.71/x
  3. Step 3: Cross multiply
    5,195.48x = 7,793.21 × 1,497.71
  4. Step 4: Simplify right side
    5,195.48x = 11,671,991.78
  5. Step 5: Solve for x
    x = 11,671,991.78/5,195.48
  6. Step 6: Final answer
    x = 2,246.57

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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.