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Finding the Fourth Proportional to 13,714.84, 20,572.26 and 3,326.50

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Solution

The fourth proportional to 13,714.84, 20,572.26 and 3,326.50 is: 4,989.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,714.84 : 20,572.26 = 3,326.50 : x
  2. Step 2: Convert to fraction form
    13,714.84/20,572.26 = 3,326.50/x
  3. Step 3: Cross multiply
    13,714.84x = 20,572.26 × 3,326.50
  4. Step 4: Simplify right side
    13,714.84x = 68,433,622.89
  5. Step 5: Solve for x
    x = 68,433,622.89/13,714.84
  6. Step 6: Final answer
    x = 4,989.75

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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.