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Finding the Fourth Proportional to 9,768.24, 13,474.08 and 6,411.24

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Solution

The fourth proportional to 9,768.24, 13,474.08 and 6,411.24 is: 8,843.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768.24 : 13,474.08 = 6,411.24 : x
  2. Step 2: Convert to fraction form
    9,768.24/13,474.08 = 6,411.24/x
  3. Step 3: Cross multiply
    9,768.24x = 13,474.08 × 6,411.24
  4. Step 4: Simplify right side
    9,768.24x = 86,385,560.66
  5. Step 5: Solve for x
    x = 86,385,560.66/9,768.24
  6. Step 6: Final answer
    x = 8,843.51

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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.