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Finding the Fourth Proportional to 9,767.88, 14,654.25 and 3,845.16

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Solution

The fourth proportional to 9,767.88, 14,654.25 and 3,845.16 is: 5,768.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.88 : 14,654.25 = 3,845.16 : x
  2. Step 2: Convert to fraction form
    9,767.88/14,654.25 = 3,845.16/x
  3. Step 3: Cross multiply
    9,767.88x = 14,654.25 × 3,845.16
  4. Step 4: Simplify right side
    9,767.88x = 56,347,935.93
  5. Step 5: Solve for x
    x = 56,347,935.93/9,767.88
  6. Step 6: Final answer
    x = 5,768.70

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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.