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Finding the Fourth Proportional to 6,530.35, 9,793.44 and 2,146.79

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Solution

The fourth proportional to 6,530.35, 9,793.44 and 2,146.79 is: 3,219.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530.35 : 9,793.44 = 2,146.79 : x
  2. Step 2: Convert to fraction form
    6,530.35/9,793.44 = 2,146.79/x
  3. Step 3: Cross multiply
    6,530.35x = 9,793.44 × 2,146.79
  4. Step 4: Simplify right side
    6,530.35x = 21,024,459.06
  5. Step 5: Solve for x
    x = 21,024,459.06/6,530.35
  6. Step 6: Final answer
    x = 3,219.50

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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.