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Finding the Fourth Proportional to 6,344.64, 8,754.12 and 3,826.08

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Solution

The fourth proportional to 6,344.64, 8,754.12 and 3,826.08 is: 5,279.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,344.64 : 8,754.12 = 3,826.08 : x
  2. Step 2: Convert to fraction form
    6,344.64/8,754.12 = 3,826.08/x
  3. Step 3: Cross multiply
    6,344.64x = 8,754.12 × 3,826.08
  4. Step 4: Simplify right side
    6,344.64x = 33,493,963.45
  5. Step 5: Solve for x
    x = 33,493,963.45/6,344.64
  6. Step 6: Final answer
    x = 5,279.10

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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.