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Finding the Fourth Proportional to 5,000.26, 6,896.42 and 4,664.92

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Solution

The fourth proportional to 5,000.26, 6,896.42 and 4,664.92 is: 6,433.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,000.26 : 6,896.42 = 4,664.92 : x
  2. Step 2: Convert to fraction form
    5,000.26/6,896.42 = 4,664.92/x
  3. Step 3: Cross multiply
    5,000.26x = 6,896.42 × 4,664.92
  4. Step 4: Simplify right side
    5,000.26x = 32,171,207.02
  5. Step 5: Solve for x
    x = 32,171,207.02/5,000.26
  6. Step 6: Final answer
    x = 6,433.91

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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.