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Finding the Fourth Proportional to 17,527, 26,289 and 6,433.24

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Solution

The fourth proportional to 17,527, 26,289 and 6,433.24 is: 9,649.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,527 : 26,289 = 6,433.24 : x
  2. Step 2: Convert to fraction form
    17,527/26,289 = 6,433.24/x
  3. Step 3: Cross multiply
    17,527x = 26,289 × 6,433.24
  4. Step 4: Simplify right side
    17,527x = 169,123,446.36
  5. Step 5: Solve for x
    x = 169,123,446.36/17,527
  6. Step 6: Final answer
    x = 9,649.31

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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.