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Finding the Fourth Proportional to 7,493, 11,182.52 and 6,662.66

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Solution

The fourth proportional to 7,493, 11,182.52 and 6,662.66 is: 9,943.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,493 : 11,182.52 = 6,662.66 : x
  2. Step 2: Convert to fraction form
    7,493/11,182.52 = 6,662.66/x
  3. Step 3: Cross multiply
    7,493x = 11,182.52 × 6,662.66
  4. Step 4: Simplify right side
    7,493x = 74,505,328.70
  5. Step 5: Solve for x
    x = 74,505,328.70/7,493
  6. Step 6: Final answer
    x = 9,943.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.