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Finding the Fourth Proportional to 7,078.86, 9,769.07 and 3,892.29

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Solution

The fourth proportional to 7,078.86, 9,769.07 and 3,892.29 is: 5,371.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,078.86 : 9,769.07 = 3,892.29 : x
  2. Step 2: Convert to fraction form
    7,078.86/9,769.07 = 3,892.29/x
  3. Step 3: Cross multiply
    7,078.86x = 9,769.07 × 3,892.29
  4. Step 4: Simplify right side
    7,078.86x = 38,024,026.57
  5. Step 5: Solve for x
    x = 38,024,026.57/7,078.86
  6. Step 6: Final answer
    x = 5,371.49

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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.