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Finding the Fourth Proportional to 6,412.33, 8,848.14 and 3,894.97

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Solution

The fourth proportional to 6,412.33, 8,848.14 and 3,894.97 is: 5,374.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.33 : 8,848.14 = 3,894.97 : x
  2. Step 2: Convert to fraction form
    6,412.33/8,848.14 = 3,894.97/x
  3. Step 3: Cross multiply
    6,412.33x = 8,848.14 × 3,894.97
  4. Step 4: Simplify right side
    6,412.33x = 34,463,239.86
  5. Step 5: Solve for x
    x = 34,463,239.86/6,412.33
  6. Step 6: Final answer
    x = 5,374.53

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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.