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Finding the Fourth Proportional to 6,206.80, 9,310 and 1,824.34

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Solution

The fourth proportional to 6,206.80, 9,310 and 1,824.34 is: 2,736.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.80 : 9,310 = 1,824.34 : x
  2. Step 2: Convert to fraction form
    6,206.80/9,310 = 1,824.34/x
  3. Step 3: Cross multiply
    6,206.80x = 9,310 × 1,824.34
  4. Step 4: Simplify right side
    6,206.80x = 16,984,605.40
  5. Step 5: Solve for x
    x = 16,984,605.40/6,206.80
  6. Step 6: Final answer
    x = 2,736.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.