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Finding the Fourth Proportional to 6,092.50, 9,138.80 and 1,475.50

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Solution

The fourth proportional to 6,092.50, 9,138.80 and 1,475.50 is: 2,213.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.50 : 9,138.80 = 1,475.50 : x
  2. Step 2: Convert to fraction form
    6,092.50/9,138.80 = 1,475.50/x
  3. Step 3: Cross multiply
    6,092.50x = 9,138.80 × 1,475.50
  4. Step 4: Simplify right side
    6,092.50x = 13,484,299.40
  5. Step 5: Solve for x
    x = 13,484,299.40/6,092.50
  6. Step 6: Final answer
    x = 2,213.26

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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.