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Finding the Fourth Proportional to 5,188.20, 7,273.20 and 5,188.20

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Solution

The fourth proportional to 5,188.20, 7,273.20 and 5,188.20 is: 7,273.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.20 : 7,273.20 = 5,188.20 : x
  2. Step 2: Convert to fraction form
    5,188.20/7,273.20 = 5,188.20/x
  3. Step 3: Cross multiply
    5,188.20x = 7,273.20 × 5,188.20
  4. Step 4: Simplify right side
    5,188.20x = 37,734,816.24
  5. Step 5: Solve for x
    x = 37,734,816.24/5,188.20
  6. Step 6: Final answer
    x = 7,273.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.