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Finding the Fourth Proportional to 9,488.52, 13,093.74 and 5,296.68

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Solution

The fourth proportional to 9,488.52, 13,093.74 and 5,296.68 is: 7,309.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488.52 : 13,093.74 = 5,296.68 : x
  2. Step 2: Convert to fraction form
    9,488.52/13,093.74 = 5,296.68/x
  3. Step 3: Cross multiply
    9,488.52x = 13,093.74 × 5,296.68
  4. Step 4: Simplify right side
    9,488.52x = 69,353,350.78
  5. Step 5: Solve for x
    x = 69,353,350.78/9,488.52
  6. Step 6: Final answer
    x = 7,309.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.