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Finding the Fourth Proportional to 16,894.96, 23,314.68 and 9,341

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Solution

The fourth proportional to 16,894.96, 23,314.68 and 9,341 is: 12,890.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,894.96 : 23,314.68 = 9,341 : x
  2. Step 2: Convert to fraction form
    16,894.96/23,314.68 = 9,341/x
  3. Step 3: Cross multiply
    16,894.96x = 23,314.68 × 9,341
  4. Step 4: Simplify right side
    16,894.96x = 217,782,425.88
  5. Step 5: Solve for x
    x = 217,782,425.88/16,894.96
  6. Step 6: Final answer
    x = 12,890.38

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Half scale
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Double scale
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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.