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Finding the Fourth Proportional to 12,175.84, 18,264.84 and 3,410.74

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Solution

The fourth proportional to 12,175.84, 18,264.84 and 3,410.74 is: 5,116.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,175.84 : 18,264.84 = 3,410.74 : x
  2. Step 2: Convert to fraction form
    12,175.84/18,264.84 = 3,410.74/x
  3. Step 3: Cross multiply
    12,175.84x = 18,264.84 × 3,410.74
  4. Step 4: Simplify right side
    12,175.84x = 62,296,620.38
  5. Step 5: Solve for x
    x = 62,296,620.38/12,175.84
  6. Step 6: Final answer
    x = 5,116.41

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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.