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Finding the Fourth Proportional to 8,613.49, 11,881.06 and 5,923.48

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Solution

The fourth proportional to 8,613.49, 11,881.06 and 5,923.48 is: 8,170.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,613.49 : 11,881.06 = 5,923.48 : x
  2. Step 2: Convert to fraction form
    8,613.49/11,881.06 = 5,923.48/x
  3. Step 3: Cross multiply
    8,613.49x = 11,881.06 × 5,923.48
  4. Step 4: Simplify right side
    8,613.49x = 70,377,221.29
  5. Step 5: Solve for x
    x = 70,377,221.29/8,613.49
  6. Step 6: Final answer
    x = 8,170.58

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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.