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Finding the Fourth Proportional to 6,898.38, 10,322.94 and 5,977.09

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Solution

The fourth proportional to 6,898.38, 10,322.94 and 5,977.09 is: 8,944.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,898.38 : 10,322.94 = 5,977.09 : x
  2. Step 2: Convert to fraction form
    6,898.38/10,322.94 = 5,977.09/x
  3. Step 3: Cross multiply
    6,898.38x = 10,322.94 × 5,977.09
  4. Step 4: Simplify right side
    6,898.38x = 61,701,141.44
  5. Step 5: Solve for x
    x = 61,701,141.44/6,898.38
  6. Step 6: Final answer
    x = 8,944.29

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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.