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Finding the Fourth Proportional to 27,733.84, 41,594.63 and 8,008.10

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Solution

The fourth proportional to 27,733.84, 41,594.63 and 8,008.10 is: 12,010.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,733.84 : 41,594.63 = 8,008.10 : x
  2. Step 2: Convert to fraction form
    27,733.84/41,594.63 = 8,008.10/x
  3. Step 3: Cross multiply
    27,733.84x = 41,594.63 × 8,008.10
  4. Step 4: Simplify right side
    27,733.84x = 333,093,956.50
  5. Step 5: Solve for x
    x = 333,093,956.50/27,733.84
  6. Step 6: Final answer
    x = 12,010.38

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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.