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Finding the Fourth Proportional to 6,811.40, 10,217.10 and 2,130.17

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Solution

The fourth proportional to 6,811.40, 10,217.10 and 2,130.17 is: 3,195.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.40 : 10,217.10 = 2,130.17 : x
  2. Step 2: Convert to fraction form
    6,811.40/10,217.10 = 2,130.17/x
  3. Step 3: Cross multiply
    6,811.40x = 10,217.10 × 2,130.17
  4. Step 4: Simplify right side
    6,811.40x = 21,764,159.91
  5. Step 5: Solve for x
    x = 21,764,159.91/6,811.40
  6. Step 6: Final answer
    x = 3,195.26

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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.