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Finding the Fourth Proportional to 9,138.74, 12,611.46 and 4,946.98

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Solution

The fourth proportional to 9,138.74, 12,611.46 and 4,946.98 is: 6,826.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.74 : 12,611.46 = 4,946.98 : x
  2. Step 2: Convert to fraction form
    9,138.74/12,611.46 = 4,946.98/x
  3. Step 3: Cross multiply
    9,138.74x = 12,611.46 × 4,946.98
  4. Step 4: Simplify right side
    9,138.74x = 62,388,640.39
  5. Step 5: Solve for x
    x = 62,388,640.39/9,138.74
  6. Step 6: Final answer
    x = 6,826.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.