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Finding the Fourth Proportional to 6,316.38, 8,714.18 and 3,799.10

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Solution

The fourth proportional to 6,316.38, 8,714.18 and 3,799.10 is: 5,241.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,316.38 : 8,714.18 = 3,799.10 : x
  2. Step 2: Convert to fraction form
    6,316.38/8,714.18 = 3,799.10/x
  3. Step 3: Cross multiply
    6,316.38x = 8,714.18 × 3,799.10
  4. Step 4: Simplify right side
    6,316.38x = 33,106,072.52
  5. Step 5: Solve for x
    x = 33,106,072.52/6,316.38
  6. Step 6: Final answer
    x = 5,241.30

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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.