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Finding the Fourth Proportional to 6,413,531.24, 8,850,676.85 and 3,512,970.54

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Solution

The fourth proportional to 6,413,531.24, 8,850,676.85 and 3,512,970.54 is: 4,847,901.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413,531.24 : 8,850,676.85 = 3,512,970.54 : x
  2. Step 2: Convert to fraction form
    6,413,531.24/8,850,676.85 = 3,512,970.54/x
  3. Step 3: Cross multiply
    6,413,531.24x = 8,850,676.85 × 3,512,970.54
  4. Step 4: Simplify right side
    6,413,531.24x = 31,092,167,015,545.15
  5. Step 5: Solve for x
    x = 31,092,167,015,545.15/6,413,531.24
  6. Step 6: Final answer
    x = 4,847,901.39

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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.