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Finding the Fourth Proportional to 4,614.89, 6,926.95 and 2,428.23

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Solution

The fourth proportional to 4,614.89, 6,926.95 and 2,428.23 is: 3,644.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614.89 : 6,926.95 = 2,428.23 : x
  2. Step 2: Convert to fraction form
    4,614.89/6,926.95 = 2,428.23/x
  3. Step 3: Cross multiply
    4,614.89x = 6,926.95 × 2,428.23
  4. Step 4: Simplify right side
    4,614.89x = 16,820,217.85
  5. Step 5: Solve for x
    x = 16,820,217.85/4,614.89
  6. Step 6: Final answer
    x = 3,644.77

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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.