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Finding the Fourth Proportional to 6,600.78, 9,901.50 and 1,670.46

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Solution

The fourth proportional to 6,600.78, 9,901.50 and 1,670.46 is: 2,505.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,600.78 : 9,901.50 = 1,670.46 : x
  2. Step 2: Convert to fraction form
    6,600.78/9,901.50 = 1,670.46/x
  3. Step 3: Cross multiply
    6,600.78x = 9,901.50 × 1,670.46
  4. Step 4: Simplify right side
    6,600.78x = 16,540,059.69
  5. Step 5: Solve for x
    x = 16,540,059.69/6,600.78
  6. Step 6: Final answer
    x = 2,505.77

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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.