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Finding the Fourth Proportional to 6,462.77, 9,678.51 and 3,681

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Solution

The fourth proportional to 6,462.77, 9,678.51 and 3,681 is: 5,512.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,462.77 : 9,678.51 = 3,681 : x
  2. Step 2: Convert to fraction form
    6,462.77/9,678.51 = 3,681/x
  3. Step 3: Cross multiply
    6,462.77x = 9,678.51 × 3,681
  4. Step 4: Simplify right side
    6,462.77x = 35,626,595.31
  5. Step 5: Solve for x
    x = 35,626,595.31/6,462.77
  6. Step 6: Final answer
    x = 5,512.59

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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.