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Finding the Fourth Proportional to 6,684.88, 10,037.17 and 3,729.09

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Solution

The fourth proportional to 6,684.88, 10,037.17 and 3,729.09 is: 5,599.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.88 : 10,037.17 = 3,729.09 : x
  2. Step 2: Convert to fraction form
    6,684.88/10,037.17 = 3,729.09/x
  3. Step 3: Cross multiply
    6,684.88x = 10,037.17 × 3,729.09
  4. Step 4: Simplify right side
    6,684.88x = 37,429,491.63
  5. Step 5: Solve for x
    x = 37,429,491.63/6,684.88
  6. Step 6: Final answer
    x = 5,599.13

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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.