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Finding the Fourth Proportional to 6,129.77, 9,190.98 and 2,433.74

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Solution

The fourth proportional to 6,129.77, 9,190.98 and 2,433.74 is: 3,649.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129.77 : 9,190.98 = 2,433.74 : x
  2. Step 2: Convert to fraction form
    6,129.77/9,190.98 = 2,433.74/x
  3. Step 3: Cross multiply
    6,129.77x = 9,190.98 × 2,433.74
  4. Step 4: Simplify right side
    6,129.77x = 22,368,409.71
  5. Step 5: Solve for x
    x = 22,368,409.71/6,129.77
  6. Step 6: Final answer
    x = 3,649.15

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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.