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Finding the Fourth Proportional to 4,874.46, 7,309.86 and 3,846.57

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Solution

The fourth proportional to 4,874.46, 7,309.86 and 3,846.57 is: 5,768.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,874.46 : 7,309.86 = 3,846.57 : x
  2. Step 2: Convert to fraction form
    4,874.46/7,309.86 = 3,846.57/x
  3. Step 3: Cross multiply
    4,874.46x = 7,309.86 × 3,846.57
  4. Step 4: Simplify right side
    4,874.46x = 28,117,888.18
  5. Step 5: Solve for x
    x = 28,117,888.18/4,874.46
  6. Step 6: Final answer
    x = 5,768.41

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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.