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Finding the Fourth Proportional to 9,243.79, 13,865.47 and 6,274.82

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Solution

The fourth proportional to 9,243.79, 13,865.47 and 6,274.82 is: 9,412.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,243.79 : 13,865.47 = 6,274.82 : x
  2. Step 2: Convert to fraction form
    9,243.79/13,865.47 = 6,274.82/x
  3. Step 3: Cross multiply
    9,243.79x = 13,865.47 × 6,274.82
  4. Step 4: Simplify right side
    9,243.79x = 87,003,297.09
  5. Step 5: Solve for x
    x = 87,003,297.09/9,243.79
  6. Step 6: Final answer
    x = 9,412.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.