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Finding the Fourth Proportional to 9,767.79, 14,658.98 and 7,843.23

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Solution

The fourth proportional to 9,767.79, 14,658.98 and 7,843.23 is: 11,770.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.79 : 14,658.98 = 7,843.23 : x
  2. Step 2: Convert to fraction form
    9,767.79/14,658.98 = 7,843.23/x
  3. Step 3: Cross multiply
    9,767.79x = 14,658.98 × 7,843.23
  4. Step 4: Simplify right side
    9,767.79x = 114,973,712.49
  5. Step 5: Solve for x
    x = 114,973,712.49/9,767.79
  6. Step 6: Final answer
    x = 11,770.70

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Similar ratio
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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.