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Finding the Fourth Proportional to 6,711.58, 10,069.17 and 2,814.94

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Solution

The fourth proportional to 6,711.58, 10,069.17 and 2,814.94 is: 4,223.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.58 : 10,069.17 = 2,814.94 : x
  2. Step 2: Convert to fraction form
    6,711.58/10,069.17 = 2,814.94/x
  3. Step 3: Cross multiply
    6,711.58x = 10,069.17 × 2,814.94
  4. Step 4: Simplify right side
    6,711.58x = 28,344,109.40
  5. Step 5: Solve for x
    x = 28,344,109.40/6,711.58
  6. Step 6: Final answer
    x = 4,223.16

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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.