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Finding the Fourth Proportional to 6,508.92, 8,983.68 and 5,193

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Solution

The fourth proportional to 6,508.92, 8,983.68 and 5,193 is: 7,167.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.92 : 8,983.68 = 5,193 : x
  2. Step 2: Convert to fraction form
    6,508.92/8,983.68 = 5,193/x
  3. Step 3: Cross multiply
    6,508.92x = 8,983.68 × 5,193
  4. Step 4: Simplify right side
    6,508.92x = 46,652,250.24
  5. Step 5: Solve for x
    x = 46,652,250.24/6,508.92
  6. Step 6: Final answer
    x = 7,167.43

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1.5x scale

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.