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Finding the Fourth Proportional to 7,352.97, 10,144.22 and 4,207.47

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Solution

The fourth proportional to 7,352.97, 10,144.22 and 4,207.47 is: 5,804.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,352.97 : 10,144.22 = 4,207.47 : x
  2. Step 2: Convert to fraction form
    7,352.97/10,144.22 = 4,207.47/x
  3. Step 3: Cross multiply
    7,352.97x = 10,144.22 × 4,207.47
  4. Step 4: Simplify right side
    7,352.97x = 42,681,480.29
  5. Step 5: Solve for x
    x = 42,681,480.29/7,352.97
  6. Step 6: Final answer
    x = 5,804.66

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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.