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Finding the Fourth Proportional to 6,998.76, 10,496.70 and 3,299.40

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Solution

The fourth proportional to 6,998.76, 10,496.70 and 3,299.40 is: 4,948.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.76 : 10,496.70 = 3,299.40 : x
  2. Step 2: Convert to fraction form
    6,998.76/10,496.70 = 3,299.40/x
  3. Step 3: Cross multiply
    6,998.76x = 10,496.70 × 3,299.40
  4. Step 4: Simplify right side
    6,998.76x = 34,632,811.98
  5. Step 5: Solve for x
    x = 34,632,811.98/6,998.76
  6. Step 6: Final answer
    x = 4,948.42

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1.5x scale

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.