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Finding the Fourth Proportional to 6,806.93, 10,219.04 and 5,787.41

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Solution

The fourth proportional to 6,806.93, 10,219.04 and 5,787.41 is: 8,688.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.93 : 10,219.04 = 5,787.41 : x
  2. Step 2: Convert to fraction form
    6,806.93/10,219.04 = 5,787.41/x
  3. Step 3: Cross multiply
    6,806.93x = 10,219.04 × 5,787.41
  4. Step 4: Simplify right side
    6,806.93x = 59,141,745.35
  5. Step 5: Solve for x
    x = 59,141,745.35/6,806.93
  6. Step 6: Final answer
    x = 8,688.46

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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.