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Finding the Fourth Proportional to 9,144.59, 13,714.83 and 5,447.88

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Solution

The fourth proportional to 9,144.59, 13,714.83 and 5,447.88 is: 8,170.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144.59 : 13,714.83 = 5,447.88 : x
  2. Step 2: Convert to fraction form
    9,144.59/13,714.83 = 5,447.88/x
  3. Step 3: Cross multiply
    9,144.59x = 13,714.83 × 5,447.88
  4. Step 4: Simplify right side
    9,144.59x = 74,716,748.06
  5. Step 5: Solve for x
    x = 74,716,748.06/9,144.59
  6. Step 6: Final answer
    x = 8,170.60

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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.