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Finding the Fourth Proportional to 17,397, 26,095.50 and 5,085

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Solution

The fourth proportional to 17,397, 26,095.50 and 5,085 is: 7,627.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,397 : 26,095.50 = 5,085 : x
  2. Step 2: Convert to fraction form
    17,397/26,095.50 = 5,085/x
  3. Step 3: Cross multiply
    17,397x = 26,095.50 × 5,085
  4. Step 4: Simplify right side
    17,397x = 132,695,617.50
  5. Step 5: Solve for x
    x = 132,695,617.50/17,397
  6. Step 6: Final answer
    x = 7,627.50

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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.