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Finding the Fourth Proportional to 5,260.80, 7,212.78 and 5,167.14

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Solution

The fourth proportional to 5,260.80, 7,212.78 and 5,167.14 is: 7,084.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,260.80 : 7,212.78 = 5,167.14 : x
  2. Step 2: Convert to fraction form
    5,260.80/7,212.78 = 5,167.14/x
  3. Step 3: Cross multiply
    5,260.80x = 7,212.78 × 5,167.14
  4. Step 4: Simplify right side
    5,260.80x = 37,269,444.05
  5. Step 5: Solve for x
    x = 37,269,444.05/5,260.80
  6. Step 6: Final answer
    x = 7,084.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.