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Finding the Fourth Proportional to 27,599.94, 41,393.84 and 7,878.06

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Solution

The fourth proportional to 27,599.94, 41,393.84 and 7,878.06 is: 11,815.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,599.94 : 41,393.84 = 7,878.06 : x
  2. Step 2: Convert to fraction form
    27,599.94/41,393.84 = 7,878.06/x
  3. Step 3: Cross multiply
    27,599.94x = 41,393.84 × 7,878.06
  4. Step 4: Simplify right side
    27,599.94x = 326,103,115.76
  5. Step 5: Solve for x
    x = 326,103,115.76/27,599.94
  6. Step 6: Final answer
    x = 11,815.36

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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.