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Finding the Fourth Proportional to 6,885.36, 9,502.37 and 4,233.42

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Solution

The fourth proportional to 6,885.36, 9,502.37 and 4,233.42 is: 5,842.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,885.36 : 9,502.37 = 4,233.42 : x
  2. Step 2: Convert to fraction form
    6,885.36/9,502.37 = 4,233.42/x
  3. Step 3: Cross multiply
    6,885.36x = 9,502.37 × 4,233.42
  4. Step 4: Simplify right side
    6,885.36x = 40,227,523.21
  5. Step 5: Solve for x
    x = 40,227,523.21/6,885.36
  6. Step 6: Final answer
    x = 5,842.47

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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.