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Finding the Fourth Proportional to 9,697.94, 14,546.90 and 2,772.44

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Solution

The fourth proportional to 9,697.94, 14,546.90 and 2,772.44 is: 4,158.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.94 : 14,546.90 = 2,772.44 : x
  2. Step 2: Convert to fraction form
    9,697.94/14,546.90 = 2,772.44/x
  3. Step 3: Cross multiply
    9,697.94x = 14,546.90 × 2,772.44
  4. Step 4: Simplify right side
    9,697.94x = 40,330,407.44
  5. Step 5: Solve for x
    x = 40,330,407.44/9,697.94
  6. Step 6: Final answer
    x = 4,158.66

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Similar ratio
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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.