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Finding the Fourth Proportional to 6,315.04, 8,713.92 and 3,796.64

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Solution

The fourth proportional to 6,315.04, 8,713.92 and 3,796.64 is: 5,238.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,315.04 : 8,713.92 = 3,796.64 : x
  2. Step 2: Convert to fraction form
    6,315.04/8,713.92 = 3,796.64/x
  3. Step 3: Cross multiply
    6,315.04x = 8,713.92 × 3,796.64
  4. Step 4: Simplify right side
    6,315.04x = 33,083,617.23
  5. Step 5: Solve for x
    x = 33,083,617.23/6,315.04
  6. Step 6: Final answer
    x = 5,238.86

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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.