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Finding the Fourth Proportional to 6,678.48, 9,212.96 and 4,159.76

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Solution

The fourth proportional to 6,678.48, 9,212.96 and 4,159.76 is: 5,738.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,678.48 : 9,212.96 = 4,159.76 : x
  2. Step 2: Convert to fraction form
    6,678.48/9,212.96 = 4,159.76/x
  3. Step 3: Cross multiply
    6,678.48x = 9,212.96 × 4,159.76
  4. Step 4: Simplify right side
    6,678.48x = 38,323,702.49
  5. Step 5: Solve for x
    x = 38,323,702.49/6,678.48
  6. Step 6: Final answer
    x = 5,738.39

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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.