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Finding the Fourth Proportional to 6,313.09, 9,471.01 and 2,417.50

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Solution

The fourth proportional to 6,313.09, 9,471.01 and 2,417.50 is: 3,626.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,313.09 : 9,471.01 = 2,417.50 : x
  2. Step 2: Convert to fraction form
    6,313.09/9,471.01 = 2,417.50/x
  3. Step 3: Cross multiply
    6,313.09x = 9,471.01 × 2,417.50
  4. Step 4: Simplify right side
    6,313.09x = 22,896,166.68
  5. Step 5: Solve for x
    x = 22,896,166.68/6,313.09
  6. Step 6: Final answer
    x = 3,626.78

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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.