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Finding the Fourth Proportional to 7,370.84, 10,174.38 and 6,583.52

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Solution

The fourth proportional to 7,370.84, 10,174.38 and 6,583.52 is: 9,087.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,370.84 : 10,174.38 = 6,583.52 : x
  2. Step 2: Convert to fraction form
    7,370.84/10,174.38 = 6,583.52/x
  3. Step 3: Cross multiply
    7,370.84x = 10,174.38 × 6,583.52
  4. Step 4: Simplify right side
    7,370.84x = 66,983,234.22
  5. Step 5: Solve for x
    x = 66,983,234.22/7,370.84
  6. Step 6: Final answer
    x = 9,087.60

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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.