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Finding the Fourth Proportional to 6,541.07, 9,814.21 and 2,381.37

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Solution

The fourth proportional to 6,541.07, 9,814.21 and 2,381.37 is: 3,573.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,541.07 : 9,814.21 = 2,381.37 : x
  2. Step 2: Convert to fraction form
    6,541.07/9,814.21 = 2,381.37/x
  3. Step 3: Cross multiply
    6,541.07x = 9,814.21 × 2,381.37
  4. Step 4: Simplify right side
    6,541.07x = 23,371,235.91
  5. Step 5: Solve for x
    x = 23,371,235.91/6,541.07
  6. Step 6: Final answer
    x = 3,573.00

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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.