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Finding the Fourth Proportional to 9,698.96, 13,383.44 and 5,923.04

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Solution

The fourth proportional to 9,698.96, 13,383.44 and 5,923.04 is: 8,173.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.96 : 13,383.44 = 5,923.04 : x
  2. Step 2: Convert to fraction form
    9,698.96/13,383.44 = 5,923.04/x
  3. Step 3: Cross multiply
    9,698.96x = 13,383.44 × 5,923.04
  4. Step 4: Simplify right side
    9,698.96x = 79,270,650.46
  5. Step 5: Solve for x
    x = 79,270,650.46/9,698.96
  6. Step 6: Final answer
    x = 8,173.11

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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.