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Finding the Fourth Proportional to 8,178.54, 11,284.43 and 4,821.09

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Solution

The fourth proportional to 8,178.54, 11,284.43 and 4,821.09 is: 6,651.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178.54 : 11,284.43 = 4,821.09 : x
  2. Step 2: Convert to fraction form
    8,178.54/11,284.43 = 4,821.09/x
  3. Step 3: Cross multiply
    8,178.54x = 11,284.43 × 4,821.09
  4. Step 4: Simplify right side
    8,178.54x = 54,403,228.52
  5. Step 5: Solve for x
    x = 54,403,228.52/8,178.54
  6. Step 6: Final answer
    x = 6,651.95

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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.