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Finding the Fourth Proportional to 16,114, 22,237.40 and 9,404.28

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Solution

The fourth proportional to 16,114, 22,237.40 and 9,404.28 is: 12,977.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,114 : 22,237.40 = 9,404.28 : x
  2. Step 2: Convert to fraction form
    16,114/22,237.40 = 9,404.28/x
  3. Step 3: Cross multiply
    16,114x = 22,237.40 × 9,404.28
  4. Step 4: Simplify right side
    16,114x = 209,126,736.07
  5. Step 5: Solve for x
    x = 209,126,736.07/16,114
  6. Step 6: Final answer
    x = 12,977.95

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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.