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Finding the Fourth Proportional to 9,796.08, 13,520.24 and 9,472.08

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Solution

The fourth proportional to 9,796.08, 13,520.24 and 9,472.08 is: 13,073.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.08 : 13,520.24 = 9,472.08 : x
  2. Step 2: Convert to fraction form
    9,796.08/13,520.24 = 9,472.08/x
  3. Step 3: Cross multiply
    9,796.08x = 13,520.24 × 9,472.08
  4. Step 4: Simplify right side
    9,796.08x = 128,064,794.90
  5. Step 5: Solve for x
    x = 128,064,794.90/9,796.08
  6. Step 6: Final answer
    x = 13,073.07

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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.