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Finding the Fourth Proportional to 6,802.65, 10,209.44 and 3,516.70

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Solution

The fourth proportional to 6,802.65, 10,209.44 and 3,516.70 is: 5,277.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.65 : 10,209.44 = 3,516.70 : x
  2. Step 2: Convert to fraction form
    6,802.65/10,209.44 = 3,516.70/x
  3. Step 3: Cross multiply
    6,802.65x = 10,209.44 × 3,516.70
  4. Step 4: Simplify right side
    6,802.65x = 35,903,520.06
  5. Step 5: Solve for x
    x = 35,903,520.06/6,802.65
  6. Step 6: Final answer
    x = 5,277.88

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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.