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Finding the Fourth Proportional to 6,697.53, 10,034.15 and 2,794.95

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Solution

The fourth proportional to 6,697.53, 10,034.15 and 2,794.95 is: 4,187.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697.53 : 10,034.15 = 2,794.95 : x
  2. Step 2: Convert to fraction form
    6,697.53/10,034.15 = 2,794.95/x
  3. Step 3: Cross multiply
    6,697.53x = 10,034.15 × 2,794.95
  4. Step 4: Simplify right side
    6,697.53x = 28,044,933.57
  5. Step 5: Solve for x
    x = 28,044,933.57/6,697.53
  6. Step 6: Final answer
    x = 4,187.35

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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.