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Finding the Fourth Proportional to 6,753.68, 9,317.94 and 4,659.02

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Solution

The fourth proportional to 6,753.68, 9,317.94 and 4,659.02 is: 6,427.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,753.68 : 9,317.94 = 4,659.02 : x
  2. Step 2: Convert to fraction form
    6,753.68/9,317.94 = 4,659.02/x
  3. Step 3: Cross multiply
    6,753.68x = 9,317.94 × 4,659.02
  4. Step 4: Simplify right side
    6,753.68x = 43,412,468.82
  5. Step 5: Solve for x
    x = 43,412,468.82/6,753.68
  6. Step 6: Final answer
    x = 6,427.97

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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.