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Finding the Fourth Proportional to 24,735.87, 37,109.88 and 7,205.85

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Solution

The fourth proportional to 24,735.87, 37,109.88 and 7,205.85 is: 10,810.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,735.87 : 37,109.88 = 7,205.85 : x
  2. Step 2: Convert to fraction form
    24,735.87/37,109.88 = 7,205.85/x
  3. Step 3: Cross multiply
    24,735.87x = 37,109.88 × 7,205.85
  4. Step 4: Simplify right side
    24,735.87x = 267,408,228.80
  5. Step 5: Solve for x
    x = 267,408,228.80/24,735.87
  6. Step 6: Final answer
    x = 10,810.54

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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.