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Finding the Fourth Proportional to 6,328.96, 8,732.16 and 4,090.88

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Solution

The fourth proportional to 6,328.96, 8,732.16 and 4,090.88 is: 5,644.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,328.96 : 8,732.16 = 4,090.88 : x
  2. Step 2: Convert to fraction form
    6,328.96/8,732.16 = 4,090.88/x
  3. Step 3: Cross multiply
    6,328.96x = 8,732.16 × 4,090.88
  4. Step 4: Simplify right side
    6,328.96x = 35,722,218.70
  5. Step 5: Solve for x
    x = 35,722,218.70/6,328.96
  6. Step 6: Final answer
    x = 5,644.25

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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.