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Finding the Fourth Proportional to 16,648.26, 22,974.64 and 9,094.74

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Solution

The fourth proportional to 16,648.26, 22,974.64 and 9,094.74 is: 12,550.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,648.26 : 22,974.64 = 9,094.74 : x
  2. Step 2: Convert to fraction form
    16,648.26/22,974.64 = 9,094.74/x
  3. Step 3: Cross multiply
    16,648.26x = 22,974.64 × 9,094.74
  4. Step 4: Simplify right side
    16,648.26x = 208,948,491.97
  5. Step 5: Solve for x
    x = 208,948,491.97/16,648.26
  6. Step 6: Final answer
    x = 12,550.77

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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.