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Finding the Fourth Proportional to 6,896.49, 10,297.89 and 6,709.65

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Solution

The fourth proportional to 6,896.49, 10,297.89 and 6,709.65 is: 10,018.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.49 : 10,297.89 = 6,709.65 : x
  2. Step 2: Convert to fraction form
    6,896.49/10,297.89 = 6,709.65/x
  3. Step 3: Cross multiply
    6,896.49x = 10,297.89 × 6,709.65
  4. Step 4: Simplify right side
    6,896.49x = 69,095,237.64
  5. Step 5: Solve for x
    x = 69,095,237.64/6,896.49
  6. Step 6: Final answer
    x = 10,018.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.