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Finding the Fourth Proportional to 8,994.92, 12,413 and 5,218.82

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Solution

The fourth proportional to 8,994.92, 12,413 and 5,218.82 is: 7,201.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,994.92 : 12,413 = 5,218.82 : x
  2. Step 2: Convert to fraction form
    8,994.92/12,413 = 5,218.82/x
  3. Step 3: Cross multiply
    8,994.92x = 12,413 × 5,218.82
  4. Step 4: Simplify right side
    8,994.92x = 64,781,212.66
  5. Step 5: Solve for x
    x = 64,781,212.66/8,994.92
  6. Step 6: Final answer
    x = 7,201.98

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1.5x scale

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.