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Finding the Fourth Proportional to 6,443.57, 9,658.61 and 2,697.50

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Solution

The fourth proportional to 6,443.57, 9,658.61 and 2,697.50 is: 4,043.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,443.57 : 9,658.61 = 2,697.50 : x
  2. Step 2: Convert to fraction form
    6,443.57/9,658.61 = 2,697.50/x
  3. Step 3: Cross multiply
    6,443.57x = 9,658.61 × 2,697.50
  4. Step 4: Simplify right side
    6,443.57x = 26,054,095.15
  5. Step 5: Solve for x
    x = 26,054,095.15/6,443.57
  6. Step 6: Final answer
    x = 4,043.42

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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.