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Finding the Fourth Proportional to 6,702, 10,057.32 and 2,598

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Solution

The fourth proportional to 6,702, 10,057.32 and 2,598 is: 3,898.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702 : 10,057.32 = 2,598 : x
  2. Step 2: Convert to fraction form
    6,702/10,057.32 = 2,598/x
  3. Step 3: Cross multiply
    6,702x = 10,057.32 × 2,598
  4. Step 4: Simplify right side
    6,702x = 26,128,917.36
  5. Step 5: Solve for x
    x = 26,128,917.36/6,702
  6. Step 6: Final answer
    x = 3,898.67

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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.