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Finding the Fourth Proportional to 16,279.28, 24,419 and 3,967.28

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Solution

The fourth proportional to 16,279.28, 24,419 and 3,967.28 is: 5,950.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,279.28 : 24,419 = 3,967.28 : x
  2. Step 2: Convert to fraction form
    16,279.28/24,419 = 3,967.28/x
  3. Step 3: Cross multiply
    16,279.28x = 24,419 × 3,967.28
  4. Step 4: Simplify right side
    16,279.28x = 96,877,010.32
  5. Step 5: Solve for x
    x = 96,877,010.32/16,279.28
  6. Step 6: Final answer
    x = 5,950.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.