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Finding the Fourth Proportional to 6,807.70, 10,206.15 and 3,729.70

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Solution

The fourth proportional to 6,807.70, 10,206.15 and 3,729.70 is: 5,591.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,807.70 : 10,206.15 = 3,729.70 : x
  2. Step 2: Convert to fraction form
    6,807.70/10,206.15 = 3,729.70/x
  3. Step 3: Cross multiply
    6,807.70x = 10,206.15 × 3,729.70
  4. Step 4: Simplify right side
    6,807.70x = 38,065,877.66
  5. Step 5: Solve for x
    x = 38,065,877.66/6,807.70
  6. Step 6: Final answer
    x = 5,591.59

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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.