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Finding the Fourth Proportional to 6,653.69, 9,980.57 and 1,722.98

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Solution

The fourth proportional to 6,653.69, 9,980.57 and 1,722.98 is: 2,584.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,653.69 : 9,980.57 = 1,722.98 : x
  2. Step 2: Convert to fraction form
    6,653.69/9,980.57 = 1,722.98/x
  3. Step 3: Cross multiply
    6,653.69x = 9,980.57 × 1,722.98
  4. Step 4: Simplify right side
    6,653.69x = 17,196,313.88
  5. Step 5: Solve for x
    x = 17,196,313.88/6,653.69
  6. Step 6: Final answer
    x = 2,584.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.