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Finding the Fourth Proportional to 6,794.58, 10,189.71 and 2,176.50

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Solution

The fourth proportional to 6,794.58, 10,189.71 and 2,176.50 is: 3,264.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,794.58 : 10,189.71 = 2,176.50 : x
  2. Step 2: Convert to fraction form
    6,794.58/10,189.71 = 2,176.50/x
  3. Step 3: Cross multiply
    6,794.58x = 10,189.71 × 2,176.50
  4. Step 4: Simplify right side
    6,794.58x = 22,177,903.82
  5. Step 5: Solve for x
    x = 22,177,903.82/6,794.58
  6. Step 6: Final answer
    x = 3,264.06

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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.