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Finding the Fourth Proportional to 6,495.48, 8,963.22 and 3,663.55

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Solution

The fourth proportional to 6,495.48, 8,963.22 and 3,663.55 is: 5,055.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,495.48 : 8,963.22 = 3,663.55 : x
  2. Step 2: Convert to fraction form
    6,495.48/8,963.22 = 3,663.55/x
  3. Step 3: Cross multiply
    6,495.48x = 8,963.22 × 3,663.55
  4. Step 4: Simplify right side
    6,495.48x = 32,837,204.63
  5. Step 5: Solve for x
    x = 32,837,204.63/6,495.48
  6. Step 6: Final answer
    x = 5,055.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.