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Finding the Fourth Proportional to 6,754.92, 9,322.47 and 4,102.58

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Solution

The fourth proportional to 6,754.92, 9,322.47 and 4,102.58 is: 5,661.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,754.92 : 9,322.47 = 4,102.58 : x
  2. Step 2: Convert to fraction form
    6,754.92/9,322.47 = 4,102.58/x
  3. Step 3: Cross multiply
    6,754.92x = 9,322.47 × 4,102.58
  4. Step 4: Simplify right side
    6,754.92x = 38,246,132.36
  5. Step 5: Solve for x
    x = 38,246,132.36/6,754.92
  6. Step 6: Final answer
    x = 5,661.97

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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.