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Finding the Fourth Proportional to 6,754.32, 9,322.17 and 4,029.02

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Solution

The fourth proportional to 6,754.32, 9,322.17 and 4,029.02 is: 5,560.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,754.32 : 9,322.17 = 4,029.02 : x
  2. Step 2: Convert to fraction form
    6,754.32/9,322.17 = 4,029.02/x
  3. Step 3: Cross multiply
    6,754.32x = 9,322.17 × 4,029.02
  4. Step 4: Simplify right side
    6,754.32x = 37,559,232.68
  5. Step 5: Solve for x
    x = 37,559,232.68/6,754.32
  6. Step 6: Final answer
    x = 5,560.77

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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.