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Finding the Fourth Proportional to 7,792.74, 11,689.92 and 7,007.85

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Solution

The fourth proportional to 7,792.74, 11,689.92 and 7,007.85 is: 10,512.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,792.74 : 11,689.92 = 7,007.85 : x
  2. Step 2: Convert to fraction form
    7,792.74/11,689.92 = 7,007.85/x
  3. Step 3: Cross multiply
    7,792.74x = 11,689.92 × 7,007.85
  4. Step 4: Simplify right side
    7,792.74x = 81,921,205.87
  5. Step 5: Solve for x
    x = 81,921,205.87/7,792.74
  6. Step 6: Final answer
    x = 10,512.50

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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.