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Finding the Fourth Proportional to 16,930.84, 23,364.24 and 9,377

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Solution

The fourth proportional to 16,930.84, 23,364.24 and 9,377 is: 12,940.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,930.84 : 23,364.24 = 9,377 : x
  2. Step 2: Convert to fraction form
    16,930.84/23,364.24 = 9,377/x
  3. Step 3: Cross multiply
    16,930.84x = 23,364.24 × 9,377
  4. Step 4: Simplify right side
    16,930.84x = 219,086,478.48
  5. Step 5: Solve for x
    x = 219,086,478.48/16,930.84
  6. Step 6: Final answer
    x = 12,940.08

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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.