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Finding the Fourth Proportional to 7,807, 11,709.64 and 1,963.61

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Solution

The fourth proportional to 7,807, 11,709.64 and 1,963.61 is: 2,945.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807 : 11,709.64 = 1,963.61 : x
  2. Step 2: Convert to fraction form
    7,807/11,709.64 = 1,963.61/x
  3. Step 3: Cross multiply
    7,807x = 11,709.64 × 1,963.61
  4. Step 4: Simplify right side
    7,807x = 22,993,190.57
  5. Step 5: Solve for x
    x = 22,993,190.57/7,807
  6. Step 6: Final answer
    x = 2,945.20

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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.