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Finding the Fourth Proportional to 6,297.12, 8,670.20 and 5,713.92

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Solution

The fourth proportional to 6,297.12, 8,670.20 and 5,713.92 is: 7,867.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.12 : 8,670.20 = 5,713.92 : x
  2. Step 2: Convert to fraction form
    6,297.12/8,670.20 = 5,713.92/x
  3. Step 3: Cross multiply
    6,297.12x = 8,670.20 × 5,713.92
  4. Step 4: Simplify right side
    6,297.12x = 49,540,829.18
  5. Step 5: Solve for x
    x = 49,540,829.18/6,297.12
  6. Step 6: Final answer
    x = 7,867.22

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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.