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Finding the Fourth Proportional to 24,977.84, 37,462.37 and 7,443.50

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Solution

The fourth proportional to 24,977.84, 37,462.37 and 7,443.50 is: 11,163.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,977.84 : 37,462.37 = 7,443.50 : x
  2. Step 2: Convert to fraction form
    24,977.84/37,462.37 = 7,443.50/x
  3. Step 3: Cross multiply
    24,977.84x = 37,462.37 × 7,443.50
  4. Step 4: Simplify right side
    24,977.84x = 278,850,926.57
  5. Step 5: Solve for x
    x = 278,850,926.57/24,977.84
  6. Step 6: Final answer
    x = 11,163.94

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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.