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Finding the Fourth Proportional to 6,469.13, 8,938.96 and 5,056.43

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Solution

The fourth proportional to 6,469.13, 8,938.96 and 5,056.43 is: 6,986.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.13 : 8,938.96 = 5,056.43 : x
  2. Step 2: Convert to fraction form
    6,469.13/8,938.96 = 5,056.43/x
  3. Step 3: Cross multiply
    6,469.13x = 8,938.96 × 5,056.43
  4. Step 4: Simplify right side
    6,469.13x = 45,199,168.18
  5. Step 5: Solve for x
    x = 45,199,168.18/6,469.13
  6. Step 6: Final answer
    x = 6,986.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.