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Finding the Fourth Proportional to 6,185.43, 9,276.19 and 2,024.76

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Solution

The fourth proportional to 6,185.43, 9,276.19 and 2,024.76 is: 3,036.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,185.43 : 9,276.19 = 2,024.76 : x
  2. Step 2: Convert to fraction form
    6,185.43/9,276.19 = 2,024.76/x
  3. Step 3: Cross multiply
    6,185.43x = 9,276.19 × 2,024.76
  4. Step 4: Simplify right side
    6,185.43x = 18,782,088.19
  5. Step 5: Solve for x
    x = 18,782,088.19/6,185.43
  6. Step 6: Final answer
    x = 3,036.50

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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.