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Finding the Fourth Proportional to 9,222.02, 12,727 and 5,243.52

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Solution

The fourth proportional to 9,222.02, 12,727 and 5,243.52 is: 7,236.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,222.02 : 12,727 = 5,243.52 : x
  2. Step 2: Convert to fraction form
    9,222.02/12,727 = 5,243.52/x
  3. Step 3: Cross multiply
    9,222.02x = 12,727 × 5,243.52
  4. Step 4: Simplify right side
    9,222.02x = 66,734,279.04
  5. Step 5: Solve for x
    x = 66,734,279.04/9,222.02
  6. Step 6: Final answer
    x = 7,236.41

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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.