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Finding the Fourth Proportional to 4,954.91, 6,834.20 and 4,207.69

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Solution

The fourth proportional to 4,954.91, 6,834.20 and 4,207.69 is: 5,803.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,954.91 : 6,834.20 = 4,207.69 : x
  2. Step 2: Convert to fraction form
    4,954.91/6,834.20 = 4,207.69/x
  3. Step 3: Cross multiply
    4,954.91x = 6,834.20 × 4,207.69
  4. Step 4: Simplify right side
    4,954.91x = 28,756,156.87
  5. Step 5: Solve for x
    x = 28,756,156.87/4,954.91
  6. Step 6: Final answer
    x = 5,803.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.