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Finding the Fourth Proportional to 13,675.74, 18,872.52 and 7,388.12

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Solution

The fourth proportional to 13,675.74, 18,872.52 and 7,388.12 is: 10,195.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,675.74 : 18,872.52 = 7,388.12 : x
  2. Step 2: Convert to fraction form
    13,675.74/18,872.52 = 7,388.12/x
  3. Step 3: Cross multiply
    13,675.74x = 18,872.52 × 7,388.12
  4. Step 4: Simplify right side
    13,675.74x = 139,432,348.10
  5. Step 5: Solve for x
    x = 139,432,348.10/13,675.74
  6. Step 6: Final answer
    x = 10,195.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.