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Finding the Fourth Proportional to 17,887.50, 26,836 and 6,200.70

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Solution

The fourth proportional to 17,887.50, 26,836 and 6,200.70 is: 9,302.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,887.50 : 26,836 = 6,200.70 : x
  2. Step 2: Convert to fraction form
    17,887.50/26,836 = 6,200.70/x
  3. Step 3: Cross multiply
    17,887.50x = 26,836 × 6,200.70
  4. Step 4: Simplify right side
    17,887.50x = 166,401,985.20
  5. Step 5: Solve for x
    x = 166,401,985.20/17,887.50
  6. Step 6: Final answer
    x = 9,302.70

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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.