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Finding the Fourth Proportional to 9,107.57, 12,568.67 and 5,074.67

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Solution

The fourth proportional to 9,107.57, 12,568.67 and 5,074.67 is: 7,003.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107.57 : 12,568.67 = 5,074.67 : x
  2. Step 2: Convert to fraction form
    9,107.57/12,568.67 = 5,074.67/x
  3. Step 3: Cross multiply
    9,107.57x = 12,568.67 × 5,074.67
  4. Step 4: Simplify right side
    9,107.57x = 63,781,891.72
  5. Step 5: Solve for x
    x = 63,781,891.72/9,107.57
  6. Step 6: Final answer
    x = 7,003.17

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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.