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Finding the Fourth Proportional to 6,301.68, 9,460.89 and 5,383.14

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Solution

The fourth proportional to 6,301.68, 9,460.89 and 5,383.14 is: 8,081.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.68 : 9,460.89 = 5,383.14 : x
  2. Step 2: Convert to fraction form
    6,301.68/9,460.89 = 5,383.14/x
  3. Step 3: Cross multiply
    6,301.68x = 9,460.89 × 5,383.14
  4. Step 4: Simplify right side
    6,301.68x = 50,929,295.39
  5. Step 5: Solve for x
    x = 50,929,295.39/6,301.68
  6. Step 6: Final answer
    x = 8,081.86

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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.