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Finding the Fourth Proportional to 6,842.27, 10,271.91 and 6,810.68

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Solution

The fourth proportional to 6,842.27, 10,271.91 and 6,810.68 is: 10,224.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.27 : 10,271.91 = 6,810.68 : x
  2. Step 2: Convert to fraction form
    6,842.27/10,271.91 = 6,810.68/x
  3. Step 3: Cross multiply
    6,842.27x = 10,271.91 × 6,810.68
  4. Step 4: Simplify right side
    6,842.27x = 69,958,692.00
  5. Step 5: Solve for x
    x = 69,958,692.00/6,842.27
  6. Step 6: Final answer
    x = 10,224.49

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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.