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Finding the Fourth Proportional to 24,743.95, 37,092.87 and 9,759.22

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Solution

The fourth proportional to 24,743.95, 37,092.87 and 9,759.22 is: 14,629.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,743.95 : 37,092.87 = 9,759.22 : x
  2. Step 2: Convert to fraction form
    24,743.95/37,092.87 = 9,759.22/x
  3. Step 3: Cross multiply
    24,743.95x = 37,092.87 × 9,759.22
  4. Step 4: Simplify right side
    24,743.95x = 361,997,386.03
  5. Step 5: Solve for x
    x = 361,997,386.03/24,743.95
  6. Step 6: Final answer
    x = 14,629.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.