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Finding the Fourth Proportional to 9,997.92, 13,797.54 and 6,223.32

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Solution

The fourth proportional to 9,997.92, 13,797.54 and 6,223.32 is: 8,588.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997.92 : 13,797.54 = 6,223.32 : x
  2. Step 2: Convert to fraction form
    9,997.92/13,797.54 = 6,223.32/x
  3. Step 3: Cross multiply
    9,997.92x = 13,797.54 × 6,223.32
  4. Step 4: Simplify right side
    9,997.92x = 85,866,506.63
  5. Step 5: Solve for x
    x = 85,866,506.63/9,997.92
  6. Step 6: Final answer
    x = 8,588.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.