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Finding the Fourth Proportional to 6,835.94, 10,252.14 and 2,452.76

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Solution

The fourth proportional to 6,835.94, 10,252.14 and 2,452.76 is: 3,678.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,835.94 : 10,252.14 = 2,452.76 : x
  2. Step 2: Convert to fraction form
    6,835.94/10,252.14 = 2,452.76/x
  3. Step 3: Cross multiply
    6,835.94x = 10,252.14 × 2,452.76
  4. Step 4: Simplify right side
    6,835.94x = 25,146,038.91
  5. Step 5: Solve for x
    x = 25,146,038.91/6,835.94
  6. Step 6: Final answer
    x = 3,678.50

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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.