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Finding the Fourth Proportional to 7,896.82, 10,896.96 and 4,871.09

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Solution

The fourth proportional to 7,896.82, 10,896.96 and 4,871.09 is: 6,721.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,896.82 : 10,896.96 = 4,871.09 : x
  2. Step 2: Convert to fraction form
    7,896.82/10,896.96 = 4,871.09/x
  3. Step 3: Cross multiply
    7,896.82x = 10,896.96 × 4,871.09
  4. Step 4: Simplify right side
    7,896.82x = 53,080,016.00
  5. Step 5: Solve for x
    x = 53,080,016.00/7,896.82
  6. Step 6: Final answer
    x = 6,721.70

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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.