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Finding the Fourth Proportional to 17,585.50, 26,375.36 and 6,497.40

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Solution

The fourth proportional to 17,585.50, 26,375.36 and 6,497.40 is: 9,745.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,585.50 : 26,375.36 = 6,497.40 : x
  2. Step 2: Convert to fraction form
    17,585.50/26,375.36 = 6,497.40/x
  3. Step 3: Cross multiply
    17,585.50x = 26,375.36 × 6,497.40
  4. Step 4: Simplify right side
    17,585.50x = 171,371,264.06
  5. Step 5: Solve for x
    x = 171,371,264.06/17,585.50
  6. Step 6: Final answer
    x = 9,745.03

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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.