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Finding the Fourth Proportional to 8,072.58, 12,107.16 and 4,738.62

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Solution

The fourth proportional to 8,072.58, 12,107.16 and 4,738.62 is: 7,106.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,072.58 : 12,107.16 = 4,738.62 : x
  2. Step 2: Convert to fraction form
    8,072.58/12,107.16 = 4,738.62/x
  3. Step 3: Cross multiply
    8,072.58x = 12,107.16 × 4,738.62
  4. Step 4: Simplify right side
    8,072.58x = 57,371,230.52
  5. Step 5: Solve for x
    x = 57,371,230.52/8,072.58
  6. Step 6: Final answer
    x = 7,106.93

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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.