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Finding the Fourth Proportional to 6,833.70, 10,244.10 and 3,709.10

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Solution

The fourth proportional to 6,833.70, 10,244.10 and 3,709.10 is: 5,560.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.70 : 10,244.10 = 3,709.10 : x
  2. Step 2: Convert to fraction form
    6,833.70/10,244.10 = 3,709.10/x
  3. Step 3: Cross multiply
    6,833.70x = 10,244.10 × 3,709.10
  4. Step 4: Simplify right side
    6,833.70x = 37,996,391.31
  5. Step 5: Solve for x
    x = 37,996,391.31/6,833.70
  6. Step 6: Final answer
    x = 5,560.15

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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.