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Finding the Fourth Proportional to 9,797.70, 14,693.42 and 3,222.36

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Solution

The fourth proportional to 9,797.70, 14,693.42 and 3,222.36 is: 4,832.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.70 : 14,693.42 = 3,222.36 : x
  2. Step 2: Convert to fraction form
    9,797.70/14,693.42 = 3,222.36/x
  3. Step 3: Cross multiply
    9,797.70x = 14,693.42 × 3,222.36
  4. Step 4: Simplify right side
    9,797.70x = 47,347,488.87
  5. Step 5: Solve for x
    x = 47,347,488.87/9,797.70
  6. Step 6: Final answer
    x = 4,832.51

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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.