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Finding the Fourth Proportional to 6,653.09, 9,978.89 and 1,723.16

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Solution

The fourth proportional to 6,653.09, 9,978.89 and 1,723.16 is: 2,584.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,653.09 : 9,978.89 = 1,723.16 : x
  2. Step 2: Convert to fraction form
    6,653.09/9,978.89 = 1,723.16/x
  3. Step 3: Cross multiply
    6,653.09x = 9,978.89 × 1,723.16
  4. Step 4: Simplify right side
    6,653.09x = 17,195,165.58
  5. Step 5: Solve for x
    x = 17,195,165.58/6,653.09
  6. Step 6: Final answer
    x = 2,584.54

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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.