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Finding the Fourth Proportional to 8,182.92, 11,292 and 4,647.27

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Solution

The fourth proportional to 8,182.92, 11,292 and 4,647.27 is: 6,412.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182.92 : 11,292 = 4,647.27 : x
  2. Step 2: Convert to fraction form
    8,182.92/11,292 = 4,647.27/x
  3. Step 3: Cross multiply
    8,182.92x = 11,292 × 4,647.27
  4. Step 4: Simplify right side
    8,182.92x = 52,476,972.84
  5. Step 5: Solve for x
    x = 52,476,972.84/8,182.92
  6. Step 6: Final answer
    x = 6,412.99

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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.