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Finding the Fourth Proportional to 11,874.83, 16,387.14 and 6,497.22

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Solution

The fourth proportional to 11,874.83, 16,387.14 and 6,497.22 is: 8,966.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,874.83 : 16,387.14 = 6,497.22 : x
  2. Step 2: Convert to fraction form
    11,874.83/16,387.14 = 6,497.22/x
  3. Step 3: Cross multiply
    11,874.83x = 16,387.14 × 6,497.22
  4. Step 4: Simplify right side
    11,874.83x = 106,470,739.33
  5. Step 5: Solve for x
    x = 106,470,739.33/11,874.83
  6. Step 6: Final answer
    x = 8,966.09

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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.