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Finding the Fourth Proportional to 6,497.72, 8,969.27 and 5,059.22

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Solution

The fourth proportional to 6,497.72, 8,969.27 and 5,059.22 is: 6,983.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.72 : 8,969.27 = 5,059.22 : x
  2. Step 2: Convert to fraction form
    6,497.72/8,969.27 = 5,059.22/x
  3. Step 3: Cross multiply
    6,497.72x = 8,969.27 × 5,059.22
  4. Step 4: Simplify right side
    6,497.72x = 45,377,507.30
  5. Step 5: Solve for x
    x = 45,377,507.30/6,497.72
  6. Step 6: Final answer
    x = 6,983.61

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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.