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Finding the Fourth Proportional to 6,206.80, 9,299.40 and 4,014.40

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Solution

The fourth proportional to 6,206.80, 9,299.40 and 4,014.40 is: 6,014.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.80 : 9,299.40 = 4,014.40 : x
  2. Step 2: Convert to fraction form
    6,206.80/9,299.40 = 4,014.40/x
  3. Step 3: Cross multiply
    6,206.80x = 9,299.40 × 4,014.40
  4. Step 4: Simplify right side
    6,206.80x = 37,331,511.36
  5. Step 5: Solve for x
    x = 37,331,511.36/6,206.80
  6. Step 6: Final answer
    x = 6,014.61

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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.