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Finding the Fourth Proportional to 6,446.38, 8,901.03 and 4,951.93

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Solution

The fourth proportional to 6,446.38, 8,901.03 and 4,951.93 is: 6,837.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.38 : 8,901.03 = 4,951.93 : x
  2. Step 2: Convert to fraction form
    6,446.38/8,901.03 = 4,951.93/x
  3. Step 3: Cross multiply
    6,446.38x = 8,901.03 × 4,951.93
  4. Step 4: Simplify right side
    6,446.38x = 44,077,277.49
  5. Step 5: Solve for x
    x = 44,077,277.49/6,446.38
  6. Step 6: Final answer
    x = 6,837.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.