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Finding the Fourth Proportional to 7,624.38, 10,498.26 and 6,674.87

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Solution

The fourth proportional to 7,624.38, 10,498.26 and 6,674.87 is: 9,190.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,624.38 : 10,498.26 = 6,674.87 : x
  2. Step 2: Convert to fraction form
    7,624.38/10,498.26 = 6,674.87/x
  3. Step 3: Cross multiply
    7,624.38x = 10,498.26 × 6,674.87
  4. Step 4: Simplify right side
    7,624.38x = 70,074,468.23
  5. Step 5: Solve for x
    x = 70,074,468.23/7,624.38
  6. Step 6: Final answer
    x = 9,190.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.