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Finding the Fourth Proportional to 6,102.26, 8,421 and 4,006.26

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Solution

The fourth proportional to 6,102.26, 8,421 and 4,006.26 is: 5,528.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.26 : 8,421 = 4,006.26 : x
  2. Step 2: Convert to fraction form
    6,102.26/8,421 = 4,006.26/x
  3. Step 3: Cross multiply
    6,102.26x = 8,421 × 4,006.26
  4. Step 4: Simplify right side
    6,102.26x = 33,736,715.46
  5. Step 5: Solve for x
    x = 33,736,715.46/6,102.26
  6. Step 6: Final answer
    x = 5,528.56

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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.