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Finding the Fourth Proportional to 6,338.58, 9,509.43 and 2,178.65

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Solution

The fourth proportional to 6,338.58, 9,509.43 and 2,178.65 is: 3,268.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.58 : 9,509.43 = 2,178.65 : x
  2. Step 2: Convert to fraction form
    6,338.58/9,509.43 = 2,178.65/x
  3. Step 3: Cross multiply
    6,338.58x = 9,509.43 × 2,178.65
  4. Step 4: Simplify right side
    6,338.58x = 20,717,672.12
  5. Step 5: Solve for x
    x = 20,717,672.12/6,338.58
  6. Step 6: Final answer
    x = 3,268.50

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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.