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Finding the Fourth Proportional to 5,296.45, 7,944.71 and 1,347.71

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Solution

The fourth proportional to 5,296.45, 7,944.71 and 1,347.71 is: 2,021.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.45 : 7,944.71 = 1,347.71 : x
  2. Step 2: Convert to fraction form
    5,296.45/7,944.71 = 1,347.71/x
  3. Step 3: Cross multiply
    5,296.45x = 7,944.71 × 1,347.71
  4. Step 4: Simplify right side
    5,296.45x = 10,707,148.62
  5. Step 5: Solve for x
    x = 10,707,148.62/5,296.45
  6. Step 6: Final answer
    x = 2,021.57

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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.