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Finding the Fourth Proportional to 6,397.26, 8,826.21 and 4,302.60

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Solution

The fourth proportional to 6,397.26, 8,826.21 and 4,302.60 is: 5,936.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.26 : 8,826.21 = 4,302.60 : x
  2. Step 2: Convert to fraction form
    6,397.26/8,826.21 = 4,302.60/x
  3. Step 3: Cross multiply
    6,397.26x = 8,826.21 × 4,302.60
  4. Step 4: Simplify right side
    6,397.26x = 37,975,651.15
  5. Step 5: Solve for x
    x = 37,975,651.15/6,397.26
  6. Step 6: Final answer
    x = 5,936.24

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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.