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Finding the Fourth Proportional to 17,600, 26,411.52 and 6,656

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Solution

The fourth proportional to 17,600, 26,411.52 and 6,656 is: 9,988.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,600 : 26,411.52 = 6,656 : x
  2. Step 2: Convert to fraction form
    17,600/26,411.52 = 6,656/x
  3. Step 3: Cross multiply
    17,600x = 26,411.52 × 6,656
  4. Step 4: Simplify right side
    17,600x = 175,795,077.12
  5. Step 5: Solve for x
    x = 175,795,077.12/17,600
  6. Step 6: Final answer
    x = 9,988.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.