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Finding the Fourth Proportional to 6,855.51, 10,284.05 and 3,343.01

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Solution

The fourth proportional to 6,855.51, 10,284.05 and 3,343.01 is: 5,014.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.51 : 10,284.05 = 3,343.01 : x
  2. Step 2: Convert to fraction form
    6,855.51/10,284.05 = 3,343.01/x
  3. Step 3: Cross multiply
    6,855.51x = 10,284.05 × 3,343.01
  4. Step 4: Simplify right side
    6,855.51x = 34,379,613.86
  5. Step 5: Solve for x
    x = 34,379,613.86/6,855.51
  6. Step 6: Final answer
    x = 5,014.89

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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.