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Finding the Fourth Proportional to 7,889.49, 10,888.26 and 5,896.59

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Solution

The fourth proportional to 7,889.49, 10,888.26 and 5,896.59 is: 8,137.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,889.49 : 10,888.26 = 5,896.59 : x
  2. Step 2: Convert to fraction form
    7,889.49/10,888.26 = 5,896.59/x
  3. Step 3: Cross multiply
    7,889.49x = 10,888.26 × 5,896.59
  4. Step 4: Simplify right side
    7,889.49x = 64,203,605.03
  5. Step 5: Solve for x
    x = 64,203,605.03/7,889.49
  6. Step 6: Final answer
    x = 8,137.87

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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.