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Finding the Fourth Proportional to 24,716.93, 37,079.10 and 7,184.48

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Solution

The fourth proportional to 24,716.93, 37,079.10 and 7,184.48 is: 10,777.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,716.93 : 37,079.10 = 7,184.48 : x
  2. Step 2: Convert to fraction form
    24,716.93/37,079.10 = 7,184.48/x
  3. Step 3: Cross multiply
    24,716.93x = 37,079.10 × 7,184.48
  4. Step 4: Simplify right side
    24,716.93x = 266,393,866.97
  5. Step 5: Solve for x
    x = 266,393,866.97/24,716.93
  6. Step 6: Final answer
    x = 10,777.79

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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.