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Finding the Fourth Proportional to 6,508.19, 9,749.22 and 2,993.32

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Solution

The fourth proportional to 6,508.19, 9,749.22 and 2,993.32 is: 4,483.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.19 : 9,749.22 = 2,993.32 : x
  2. Step 2: Convert to fraction form
    6,508.19/9,749.22 = 2,993.32/x
  3. Step 3: Cross multiply
    6,508.19x = 9,749.22 × 2,993.32
  4. Step 4: Simplify right side
    6,508.19x = 29,182,471.50
  5. Step 5: Solve for x
    x = 29,182,471.50/6,508.19
  6. Step 6: Final answer
    x = 4,483.96

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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.