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Finding the Fourth Proportional to 16,579.76, 24,863.16 and 6,188.24

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Solution

The fourth proportional to 16,579.76, 24,863.16 and 6,188.24 is: 9,279.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,579.76 : 24,863.16 = 6,188.24 : x
  2. Step 2: Convert to fraction form
    16,579.76/24,863.16 = 6,188.24/x
  3. Step 3: Cross multiply
    16,579.76x = 24,863.16 × 6,188.24
  4. Step 4: Simplify right side
    16,579.76x = 153,859,201.24
  5. Step 5: Solve for x
    x = 153,859,201.24/16,579.76
  6. Step 6: Final answer
    x = 9,279.94

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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.