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Finding the Fourth Proportional to 6,912, 10,367.64 and 2,526.12

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Solution

The fourth proportional to 6,912, 10,367.64 and 2,526.12 is: 3,789.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,912 : 10,367.64 = 2,526.12 : x
  2. Step 2: Convert to fraction form
    6,912/10,367.64 = 2,526.12/x
  3. Step 3: Cross multiply
    6,912x = 10,367.64 × 2,526.12
  4. Step 4: Simplify right side
    6,912x = 26,189,902.76
  5. Step 5: Solve for x
    x = 26,189,902.76/6,912
  6. Step 6: Final answer
    x = 3,789.05

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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.