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Finding the Fourth Proportional to 6,541.63, 9,809.71 and 2,592.27

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Solution

The fourth proportional to 6,541.63, 9,809.71 and 2,592.27 is: 3,887.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,541.63 : 9,809.71 = 2,592.27 : x
  2. Step 2: Convert to fraction form
    6,541.63/9,809.71 = 2,592.27/x
  3. Step 3: Cross multiply
    6,541.63x = 9,809.71 × 2,592.27
  4. Step 4: Simplify right side
    6,541.63x = 25,429,410.46
  5. Step 5: Solve for x
    x = 25,429,410.46/6,541.63
  6. Step 6: Final answer
    x = 3,887.32

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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.