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Finding the Fourth Proportional to 6,646.65, 9,172.33 and 3,662.41

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Solution

The fourth proportional to 6,646.65, 9,172.33 and 3,662.41 is: 5,054.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.65 : 9,172.33 = 3,662.41 : x
  2. Step 2: Convert to fraction form
    6,646.65/9,172.33 = 3,662.41/x
  3. Step 3: Cross multiply
    6,646.65x = 9,172.33 × 3,662.41
  4. Step 4: Simplify right side
    6,646.65x = 33,592,833.12
  5. Step 5: Solve for x
    x = 33,592,833.12/6,646.65
  6. Step 6: Final answer
    x = 5,054.10

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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.