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Finding the Fourth Proportional to 6,137.35, 9,187.80 and 4,059.70

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Solution

The fourth proportional to 6,137.35, 9,187.80 and 4,059.70 is: 6,077.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.35 : 9,187.80 = 4,059.70 : x
  2. Step 2: Convert to fraction form
    6,137.35/9,187.80 = 4,059.70/x
  3. Step 3: Cross multiply
    6,137.35x = 9,187.80 × 4,059.70
  4. Step 4: Simplify right side
    6,137.35x = 37,299,711.66
  5. Step 5: Solve for x
    x = 37,299,711.66/6,137.35
  6. Step 6: Final answer
    x = 6,077.49

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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.