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Finding the Fourth Proportional to 6,865, 10,295.47 and 2,184.82

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Solution

The fourth proportional to 6,865, 10,295.47 and 2,184.82 is: 3,276.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,865 : 10,295.47 = 2,184.82 : x
  2. Step 2: Convert to fraction form
    6,865/10,295.47 = 2,184.82/x
  3. Step 3: Cross multiply
    6,865x = 10,295.47 × 2,184.82
  4. Step 4: Simplify right side
    6,865x = 22,493,748.77
  5. Step 5: Solve for x
    x = 22,493,748.77/6,865
  6. Step 6: Final answer
    x = 3,276.58

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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.