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Finding the Fourth Proportional to 16,043.06, 24,074.31 and 6,809.06

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Solution

The fourth proportional to 16,043.06, 24,074.31 and 6,809.06 is: 10,217.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,043.06 : 24,074.31 = 6,809.06 : x
  2. Step 2: Convert to fraction form
    16,043.06/24,074.31 = 6,809.06/x
  3. Step 3: Cross multiply
    16,043.06x = 24,074.31 × 6,809.06
  4. Step 4: Simplify right side
    16,043.06x = 163,923,506.97
  5. Step 5: Solve for x
    x = 163,923,506.97/16,043.06
  6. Step 6: Final answer
    x = 10,217.72

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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.