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Finding the Fourth Proportional to 24,712.78, 37,074.22 and 7,182.22

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Solution

The fourth proportional to 24,712.78, 37,074.22 and 7,182.22 is: 10,774.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,712.78 : 37,074.22 = 7,182.22 : x
  2. Step 2: Convert to fraction form
    24,712.78/37,074.22 = 7,182.22/x
  3. Step 3: Cross multiply
    24,712.78x = 37,074.22 × 7,182.22
  4. Step 4: Simplify right side
    24,712.78x = 266,275,204.37
  5. Step 5: Solve for x
    x = 266,275,204.37/24,712.78
  6. Step 6: Final answer
    x = 10,774.80

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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.