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Finding the Fourth Proportional to 16,298.70, 22,492.22 and 8,846.70

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Solution

The fourth proportional to 16,298.70, 22,492.22 and 8,846.70 is: 12,208.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,298.70 : 22,492.22 = 8,846.70 : x
  2. Step 2: Convert to fraction form
    16,298.70/22,492.22 = 8,846.70/x
  3. Step 3: Cross multiply
    16,298.70x = 22,492.22 × 8,846.70
  4. Step 4: Simplify right side
    16,298.70x = 198,981,922.67
  5. Step 5: Solve for x
    x = 198,981,922.67/16,298.70
  6. Step 6: Final answer
    x = 12,208.45

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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.