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Finding the Fourth Proportional to 6,280.56, 9,422.63 and 5,121.53

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Solution

The fourth proportional to 6,280.56, 9,422.63 and 5,121.53 is: 7,683.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,280.56 : 9,422.63 = 5,121.53 : x
  2. Step 2: Convert to fraction form
    6,280.56/9,422.63 = 5,121.53/x
  3. Step 3: Cross multiply
    6,280.56x = 9,422.63 × 5,121.53
  4. Step 4: Simplify right side
    6,280.56x = 48,258,209.50
  5. Step 5: Solve for x
    x = 48,258,209.50/6,280.56
  6. Step 6: Final answer
    x = 7,683.74

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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.