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Finding the Fourth Proportional to 6,262.50, 9,391.50 and 2,101.26

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Solution

The fourth proportional to 6,262.50, 9,391.50 and 2,101.26 is: 3,151.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,262.50 : 9,391.50 = 2,101.26 : x
  2. Step 2: Convert to fraction form
    6,262.50/9,391.50 = 2,101.26/x
  3. Step 3: Cross multiply
    6,262.50x = 9,391.50 × 2,101.26
  4. Step 4: Simplify right side
    6,262.50x = 19,733,983.29
  5. Step 5: Solve for x
    x = 19,733,983.29/6,262.50
  6. Step 6: Final answer
    x = 3,151.14

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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.