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Finding the Fourth Proportional to 6,846.20, 10,269.30 and 4,659.20

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Solution

The fourth proportional to 6,846.20, 10,269.30 and 4,659.20 is: 6,988.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.20 : 10,269.30 = 4,659.20 : x
  2. Step 2: Convert to fraction form
    6,846.20/10,269.30 = 4,659.20/x
  3. Step 3: Cross multiply
    6,846.20x = 10,269.30 × 4,659.20
  4. Step 4: Simplify right side
    6,846.20x = 47,846,722.56
  5. Step 5: Solve for x
    x = 47,846,722.56/6,846.20
  6. Step 6: Final answer
    x = 6,988.80

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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.