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Finding the Fourth Proportional to 8,614.10, 12,927.64 and 5,834.18

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Solution

The fourth proportional to 8,614.10, 12,927.64 and 5,834.18 is: 8,755.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,614.10 : 12,927.64 = 5,834.18 : x
  2. Step 2: Convert to fraction form
    8,614.10/12,927.64 = 5,834.18/x
  3. Step 3: Cross multiply
    8,614.10x = 12,927.64 × 5,834.18
  4. Step 4: Simplify right side
    8,614.10x = 75,422,178.74
  5. Step 5: Solve for x
    x = 75,422,178.74/8,614.10
  6. Step 6: Final answer
    x = 8,755.67

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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.