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Finding the Fourth Proportional to 17,771.70, 26,658 and 6,084.84

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Solution

The fourth proportional to 17,771.70, 26,658 and 6,084.84 is: 9,127.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,771.70 : 26,658 = 6,084.84 : x
  2. Step 2: Convert to fraction form
    17,771.70/26,658 = 6,084.84/x
  3. Step 3: Cross multiply
    17,771.70x = 26,658 × 6,084.84
  4. Step 4: Simplify right side
    17,771.70x = 162,209,664.72
  5. Step 5: Solve for x
    x = 162,209,664.72/17,771.70
  6. Step 6: Final answer
    x = 9,127.41

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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.