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Finding the Fourth Proportional to 6,789.71, 10,182.06 and 2,346.24

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Solution

The fourth proportional to 6,789.71, 10,182.06 and 2,346.24 is: 3,518.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,789.71 : 10,182.06 = 2,346.24 : x
  2. Step 2: Convert to fraction form
    6,789.71/10,182.06 = 2,346.24/x
  3. Step 3: Cross multiply
    6,789.71x = 10,182.06 × 2,346.24
  4. Step 4: Simplify right side
    6,789.71x = 23,889,594.64
  5. Step 5: Solve for x
    x = 23,889,594.64/6,789.71
  6. Step 6: Final answer
    x = 3,518.50

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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.