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Finding the Fourth Proportional to 10,216.67, 15,314.10 and 5,824.67

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Solution

The fourth proportional to 10,216.67, 15,314.10 and 5,824.67 is: 8,730.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,216.67 : 15,314.10 = 5,824.67 : x
  2. Step 2: Convert to fraction form
    10,216.67/15,314.10 = 5,824.67/x
  3. Step 3: Cross multiply
    10,216.67x = 15,314.10 × 5,824.67
  4. Step 4: Simplify right side
    10,216.67x = 89,199,502.28
  5. Step 5: Solve for x
    x = 89,199,502.28/10,216.67
  6. Step 6: Final answer
    x = 8,730.78

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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.