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Finding the Fourth Proportional to 13,874.97, 20,809.35 and 4,012.05

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Solution

The fourth proportional to 13,874.97, 20,809.35 and 4,012.05 is: 6,017.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,874.97 : 20,809.35 = 4,012.05 : x
  2. Step 2: Convert to fraction form
    13,874.97/20,809.35 = 4,012.05/x
  3. Step 3: Cross multiply
    13,874.97x = 20,809.35 × 4,012.05
  4. Step 4: Simplify right side
    13,874.97x = 83,488,152.67
  5. Step 5: Solve for x
    x = 83,488,152.67/13,874.97
  6. Step 6: Final answer
    x = 6,017.18

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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.