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Finding the Fourth Proportional to 6,776.64, 10,167.86 and 3,655.92

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Solution

The fourth proportional to 6,776.64, 10,167.86 and 3,655.92 is: 5,485.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,776.64 : 10,167.86 = 3,655.92 : x
  2. Step 2: Convert to fraction form
    6,776.64/10,167.86 = 3,655.92/x
  3. Step 3: Cross multiply
    6,776.64x = 10,167.86 × 3,655.92
  4. Step 4: Simplify right side
    6,776.64x = 37,172,864.45
  5. Step 5: Solve for x
    x = 37,172,864.45/6,776.64
  6. Step 6: Final answer
    x = 5,485.44

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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.