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Finding the Fourth Proportional to 8,296.40, 11,448 and 5,613.48

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Solution

The fourth proportional to 8,296.40, 11,448 and 5,613.48 is: 7,745.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.40 : 11,448 = 5,613.48 : x
  2. Step 2: Convert to fraction form
    8,296.40/11,448 = 5,613.48/x
  3. Step 3: Cross multiply
    8,296.40x = 11,448 × 5,613.48
  4. Step 4: Simplify right side
    8,296.40x = 64,263,119.04
  5. Step 5: Solve for x
    x = 64,263,119.04/8,296.40
  6. Step 6: Final answer
    x = 7,745.90

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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.