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Finding the Fourth Proportional to 6,754.71, 9,322.05 and 4,101.15

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Solution

The fourth proportional to 6,754.71, 9,322.05 and 4,101.15 is: 5,659.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,754.71 : 9,322.05 = 4,101.15 : x
  2. Step 2: Convert to fraction form
    6,754.71/9,322.05 = 4,101.15/x
  3. Step 3: Cross multiply
    6,754.71x = 9,322.05 × 4,101.15
  4. Step 4: Simplify right side
    6,754.71x = 38,231,125.36
  5. Step 5: Solve for x
    x = 38,231,125.36/6,754.71
  6. Step 6: Final answer
    x = 5,659.92

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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.