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Finding the Fourth Proportional to 12,097.65, 16,694.33 and 6,792.69

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Solution

The fourth proportional to 12,097.65, 16,694.33 and 6,792.69 is: 9,373.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.65 : 16,694.33 = 6,792.69 : x
  2. Step 2: Convert to fraction form
    12,097.65/16,694.33 = 6,792.69/x
  3. Step 3: Cross multiply
    12,097.65x = 16,694.33 × 6,792.69
  4. Step 4: Simplify right side
    12,097.65x = 113,399,374.48
  5. Step 5: Solve for x
    x = 113,399,374.48/12,097.65
  6. Step 6: Final answer
    x = 9,373.67

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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.