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Finding the Fourth Proportional to 6,508.26, 8,979.53 and 3,675.50

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Solution

The fourth proportional to 6,508.26, 8,979.53 and 3,675.50 is: 5,071.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.26 : 8,979.53 = 3,675.50 : x
  2. Step 2: Convert to fraction form
    6,508.26/8,979.53 = 3,675.50/x
  3. Step 3: Cross multiply
    6,508.26x = 8,979.53 × 3,675.50
  4. Step 4: Simplify right side
    6,508.26x = 33,004,199.24
  5. Step 5: Solve for x
    x = 33,004,199.24/6,508.26
  6. Step 6: Final answer
    x = 5,071.12

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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.