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Finding the Fourth Proportional to 6,495.12, 8,963.81 and 3,662.35

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Solution

The fourth proportional to 6,495.12, 8,963.81 and 3,662.35 is: 5,054.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,495.12 : 8,963.81 = 3,662.35 : x
  2. Step 2: Convert to fraction form
    6,495.12/8,963.81 = 3,662.35/x
  3. Step 3: Cross multiply
    6,495.12x = 8,963.81 × 3,662.35
  4. Step 4: Simplify right side
    6,495.12x = 32,828,582.57
  5. Step 5: Solve for x
    x = 32,828,582.57/6,495.12
  6. Step 6: Final answer
    x = 5,054.35

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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.