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Finding the Fourth Proportional to 8,277.74, 12,417.10 and 3,012.74

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Solution

The fourth proportional to 8,277.74, 12,417.10 and 3,012.74 is: 4,519.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277.74 : 12,417.10 = 3,012.74 : x
  2. Step 2: Convert to fraction form
    8,277.74/12,417.10 = 3,012.74/x
  3. Step 3: Cross multiply
    8,277.74x = 12,417.10 × 3,012.74
  4. Step 4: Simplify right side
    8,277.74x = 37,409,540.65
  5. Step 5: Solve for x
    x = 37,409,540.65/8,277.74
  6. Step 6: Final answer
    x = 4,519.29

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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.