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Finding the Fourth Proportional to 7,206.84, 10,802.84 and 2,763.29

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Solution

The fourth proportional to 7,206.84, 10,802.84 and 2,763.29 is: 4,142.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206.84 : 10,802.84 = 2,763.29 : x
  2. Step 2: Convert to fraction form
    7,206.84/10,802.84 = 2,763.29/x
  3. Step 3: Cross multiply
    7,206.84x = 10,802.84 × 2,763.29
  4. Step 4: Simplify right side
    7,206.84x = 29,851,311.91
  5. Step 5: Solve for x
    x = 29,851,311.91/7,206.84
  6. Step 6: Final answer
    x = 4,142.08

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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.