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Finding the Fourth Proportional to 16,363.74, 22,582.08 and 8,911.74

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Solution

The fourth proportional to 16,363.74, 22,582.08 and 8,911.74 is: 12,298.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,363.74 : 22,582.08 = 8,911.74 : x
  2. Step 2: Convert to fraction form
    16,363.74/22,582.08 = 8,911.74/x
  3. Step 3: Cross multiply
    16,363.74x = 22,582.08 × 8,911.74
  4. Step 4: Simplify right side
    16,363.74x = 201,245,625.62
  5. Step 5: Solve for x
    x = 201,245,625.62/16,363.74
  6. Step 6: Final answer
    x = 12,298.27

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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.