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Finding the Fourth Proportional to 4,711.14, 7,069.14 and 3,423.24

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Solution

The fourth proportional to 4,711.14, 7,069.14 and 3,423.24 is: 5,136.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,711.14 : 7,069.14 = 3,423.24 : x
  2. Step 2: Convert to fraction form
    4,711.14/7,069.14 = 3,423.24/x
  3. Step 3: Cross multiply
    4,711.14x = 7,069.14 × 3,423.24
  4. Step 4: Simplify right side
    4,711.14x = 24,199,362.81
  5. Step 5: Solve for x
    x = 24,199,362.81/4,711.14
  6. Step 6: Final answer
    x = 5,136.63

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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.