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Finding the Fourth Proportional to 4,998.56, 6,900.96 and 3,428.96

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Solution

The fourth proportional to 4,998.56, 6,900.96 and 3,428.96 is: 4,733.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,998.56 : 6,900.96 = 3,428.96 : x
  2. Step 2: Convert to fraction form
    4,998.56/6,900.96 = 3,428.96/x
  3. Step 3: Cross multiply
    4,998.56x = 6,900.96 × 3,428.96
  4. Step 4: Simplify right side
    4,998.56x = 23,663,115.80
  5. Step 5: Solve for x
    x = 23,663,115.80/4,998.56
  6. Step 6: Final answer
    x = 4,733.99

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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.