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Finding the Fourth Proportional to 6,063.57, 9,094.50 and 1,680.75

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Solution

The fourth proportional to 6,063.57, 9,094.50 and 1,680.75 is: 2,520.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,063.57 : 9,094.50 = 1,680.75 : x
  2. Step 2: Convert to fraction form
    6,063.57/9,094.50 = 1,680.75/x
  3. Step 3: Cross multiply
    6,063.57x = 9,094.50 × 1,680.75
  4. Step 4: Simplify right side
    6,063.57x = 15,285,580.88
  5. Step 5: Solve for x
    x = 15,285,580.88/6,063.57
  6. Step 6: Final answer
    x = 2,520.89

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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.