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Finding the Fourth Proportional to 27,676.74, 41,510.64 and 7,950.81

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Solution

The fourth proportional to 27,676.74, 41,510.64 and 7,950.81 is: 11,924.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,676.74 : 41,510.64 = 7,950.81 : x
  2. Step 2: Convert to fraction form
    27,676.74/41,510.64 = 7,950.81/x
  3. Step 3: Cross multiply
    27,676.74x = 41,510.64 × 7,950.81
  4. Step 4: Simplify right side
    27,676.74x = 330,043,211.62
  5. Step 5: Solve for x
    x = 330,043,211.62/27,676.74
  6. Step 6: Final answer
    x = 11,924.93

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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.