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Finding the Fourth Proportional to 7,227.24, 9,975.24 and 4,578.27

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Solution

The fourth proportional to 7,227.24, 9,975.24 and 4,578.27 is: 6,319.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,227.24 : 9,975.24 = 4,578.27 : x
  2. Step 2: Convert to fraction form
    7,227.24/9,975.24 = 4,578.27/x
  3. Step 3: Cross multiply
    7,227.24x = 9,975.24 × 4,578.27
  4. Step 4: Simplify right side
    7,227.24x = 45,669,342.03
  5. Step 5: Solve for x
    x = 45,669,342.03/7,227.24
  6. Step 6: Final answer
    x = 6,319.06

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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.