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Finding the Fourth Proportional to 16,823.12, 25,231.98 and 6,958.76

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Solution

The fourth proportional to 16,823.12, 25,231.98 and 6,958.76 is: 10,437.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,823.12 : 25,231.98 = 6,958.76 : x
  2. Step 2: Convert to fraction form
    16,823.12/25,231.98 = 6,958.76/x
  3. Step 3: Cross multiply
    16,823.12x = 25,231.98 × 6,958.76
  4. Step 4: Simplify right side
    16,823.12x = 175,583,293.14
  5. Step 5: Solve for x
    x = 175,583,293.14/16,823.12
  6. Step 6: Final answer
    x = 10,437.02

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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.