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Finding the Fourth Proportional to 6,282.36, 9,351.72 and 6,188.94

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Solution

The fourth proportional to 6,282.36, 9,351.72 and 6,188.94 is: 9,212.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,282.36 : 9,351.72 = 6,188.94 : x
  2. Step 2: Convert to fraction form
    6,282.36/9,351.72 = 6,188.94/x
  3. Step 3: Cross multiply
    6,282.36x = 9,351.72 × 6,188.94
  4. Step 4: Simplify right side
    6,282.36x = 57,877,233.98
  5. Step 5: Solve for x
    x = 57,877,233.98/6,282.36
  6. Step 6: Final answer
    x = 9,212.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.