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Finding the Fourth Proportional to 6,743.20, 10,114.80 and 6,455.20

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Solution

The fourth proportional to 6,743.20, 10,114.80 and 6,455.20 is: 9,682.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,743.20 : 10,114.80 = 6,455.20 : x
  2. Step 2: Convert to fraction form
    6,743.20/10,114.80 = 6,455.20/x
  3. Step 3: Cross multiply
    6,743.20x = 10,114.80 × 6,455.20
  4. Step 4: Simplify right side
    6,743.20x = 65,293,056.96
  5. Step 5: Solve for x
    x = 65,293,056.96/6,743.20
  6. Step 6: Final answer
    x = 9,682.80

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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.