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Finding the Fourth Proportional to 6,354.64, 8,768.28 and 3,836.08

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Solution

The fourth proportional to 6,354.64, 8,768.28 and 3,836.08 is: 5,293.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.64 : 8,768.28 = 3,836.08 : x
  2. Step 2: Convert to fraction form
    6,354.64/8,768.28 = 3,836.08/x
  3. Step 3: Cross multiply
    6,354.64x = 8,768.28 × 3,836.08
  4. Step 4: Simplify right side
    6,354.64x = 33,635,823.54
  5. Step 5: Solve for x
    x = 33,635,823.54/6,354.64
  6. Step 6: Final answer
    x = 5,293.11

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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.