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Finding the Fourth Proportional to 6,806.44, 10,204.22 and 6,259.72

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Solution

The fourth proportional to 6,806.44, 10,204.22 and 6,259.72 is: 9,384.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.44 : 10,204.22 = 6,259.72 : x
  2. Step 2: Convert to fraction form
    6,806.44/10,204.22 = 6,259.72/x
  3. Step 3: Cross multiply
    6,806.44x = 10,204.22 × 6,259.72
  4. Step 4: Simplify right side
    6,806.44x = 63,875,560.02
  5. Step 5: Solve for x
    x = 63,875,560.02/6,806.44
  6. Step 6: Final answer
    x = 9,384.58

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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.