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Finding the Fourth Proportional to 6,652.02, 9,977.08 and 2,491.46

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Solution

The fourth proportional to 6,652.02, 9,977.08 and 2,491.46 is: 3,736.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,652.02 : 9,977.08 = 2,491.46 : x
  2. Step 2: Convert to fraction form
    6,652.02/9,977.08 = 2,491.46/x
  3. Step 3: Cross multiply
    6,652.02x = 9,977.08 × 2,491.46
  4. Step 4: Simplify right side
    6,652.02x = 24,857,495.74
  5. Step 5: Solve for x
    x = 24,857,495.74/6,652.02
  6. Step 6: Final answer
    x = 3,736.83

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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.