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Finding the Fourth Proportional to 24,724.56, 37,080.12 and 7,189.84

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Solution

The fourth proportional to 24,724.56, 37,080.12 and 7,189.84 is: 10,782.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,724.56 : 37,080.12 = 7,189.84 : x
  2. Step 2: Convert to fraction form
    24,724.56/37,080.12 = 7,189.84/x
  3. Step 3: Cross multiply
    24,724.56x = 37,080.12 × 7,189.84
  4. Step 4: Simplify right side
    24,724.56x = 266,600,129.98
  5. Step 5: Solve for x
    x = 266,600,129.98/24,724.56
  6. Step 6: Final answer
    x = 10,782.81

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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.