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Finding the Fourth Proportional to 9,697.73, 14,546.75 and 3,123.95

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Solution

The fourth proportional to 9,697.73, 14,546.75 and 3,123.95 is: 4,685.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.73 : 14,546.75 = 3,123.95 : x
  2. Step 2: Convert to fraction form
    9,697.73/14,546.75 = 3,123.95/x
  3. Step 3: Cross multiply
    9,697.73x = 14,546.75 × 3,123.95
  4. Step 4: Simplify right side
    9,697.73x = 45,443,231.31
  5. Step 5: Solve for x
    x = 45,443,231.31/9,697.73
  6. Step 6: Final answer
    x = 4,685.97

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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.