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Finding the Fourth Proportional to 7,224.93, 9,978.63 and 4,862.97

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Solution

The fourth proportional to 7,224.93, 9,978.63 and 4,862.97 is: 6,716.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,224.93 : 9,978.63 = 4,862.97 : x
  2. Step 2: Convert to fraction form
    7,224.93/9,978.63 = 4,862.97/x
  3. Step 3: Cross multiply
    7,224.93x = 9,978.63 × 4,862.97
  4. Step 4: Simplify right side
    7,224.93x = 48,525,778.33
  5. Step 5: Solve for x
    x = 48,525,778.33/7,224.93
  6. Step 6: Final answer
    x = 6,716.44

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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.