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Finding the Fourth Proportional to 17,077.16, 25,619.52 and 6,689

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Solution

The fourth proportional to 17,077.16, 25,619.52 and 6,689 is: 10,034.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,077.16 : 25,619.52 = 6,689 : x
  2. Step 2: Convert to fraction form
    17,077.16/25,619.52 = 6,689/x
  3. Step 3: Cross multiply
    17,077.16x = 25,619.52 × 6,689
  4. Step 4: Simplify right side
    17,077.16x = 171,368,969.28
  5. Step 5: Solve for x
    x = 171,368,969.28/17,077.16
  6. Step 6: Final answer
    x = 10,034.98

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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.