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Finding the Fourth Proportional to 9,157.95, 13,736.97 and 4,714.74

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Solution

The fourth proportional to 9,157.95, 13,736.97 and 4,714.74 is: 7,072.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157.95 : 13,736.97 = 4,714.74 : x
  2. Step 2: Convert to fraction form
    9,157.95/13,736.97 = 4,714.74/x
  3. Step 3: Cross multiply
    9,157.95x = 13,736.97 × 4,714.74
  4. Step 4: Simplify right side
    9,157.95x = 64,766,241.94
  5. Step 5: Solve for x
    x = 64,766,241.94/9,157.95
  6. Step 6: Final answer
    x = 7,072.13

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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.