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Finding the Fourth Proportional to 6,823.54, 10,228.92 and 6,214.87

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Solution

The fourth proportional to 6,823.54, 10,228.92 and 6,214.87 is: 9,316.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823.54 : 10,228.92 = 6,214.87 : x
  2. Step 2: Convert to fraction form
    6,823.54/10,228.92 = 6,214.87/x
  3. Step 3: Cross multiply
    6,823.54x = 10,228.92 × 6,214.87
  4. Step 4: Simplify right side
    6,823.54x = 63,571,408.04
  5. Step 5: Solve for x
    x = 63,571,408.04/6,823.54
  6. Step 6: Final answer
    x = 9,316.48

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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.