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Finding the Fourth Proportional to 6,699.80, 10,052.70 and 2,320.40

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Solution

The fourth proportional to 6,699.80, 10,052.70 and 2,320.40 is: 3,481.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,699.80 : 10,052.70 = 2,320.40 : x
  2. Step 2: Convert to fraction form
    6,699.80/10,052.70 = 2,320.40/x
  3. Step 3: Cross multiply
    6,699.80x = 10,052.70 × 2,320.40
  4. Step 4: Simplify right side
    6,699.80x = 23,326,285.08
  5. Step 5: Solve for x
    x = 23,326,285.08/6,699.80
  6. Step 6: Final answer
    x = 3,481.64

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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.