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Finding the Fourth Proportional to 9,797.36, 14,695.92 and 3,223.44

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Solution

The fourth proportional to 9,797.36, 14,695.92 and 3,223.44 is: 4,835.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.36 : 14,695.92 = 3,223.44 : x
  2. Step 2: Convert to fraction form
    9,797.36/14,695.92 = 3,223.44/x
  3. Step 3: Cross multiply
    9,797.36x = 14,695.92 × 3,223.44
  4. Step 4: Simplify right side
    9,797.36x = 47,371,416.36
  5. Step 5: Solve for x
    x = 47,371,416.36/9,797.36
  6. Step 6: Final answer
    x = 4,835.12

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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.