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Finding the Fourth Proportional to 7,896.69, 10,898.69 and 6,005.23

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Solution

The fourth proportional to 7,896.69, 10,898.69 and 6,005.23 is: 8,288.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,896.69 : 10,898.69 = 6,005.23 : x
  2. Step 2: Convert to fraction form
    7,896.69/10,898.69 = 6,005.23/x
  3. Step 3: Cross multiply
    7,896.69x = 10,898.69 × 6,005.23
  4. Step 4: Simplify right side
    7,896.69x = 65,449,082.88
  5. Step 5: Solve for x
    x = 65,449,082.88/7,896.69
  6. Step 6: Final answer
    x = 8,288.17

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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.