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Finding the Fourth Proportional to 9,601.64, 14,404.41 and 4,054.97

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Solution

The fourth proportional to 9,601.64, 14,404.41 and 4,054.97 is: 6,083.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,601.64 : 14,404.41 = 4,054.97 : x
  2. Step 2: Convert to fraction form
    9,601.64/14,404.41 = 4,054.97/x
  3. Step 3: Cross multiply
    9,601.64x = 14,404.41 × 4,054.97
  4. Step 4: Simplify right side
    9,601.64x = 58,409,450.42
  5. Step 5: Solve for x
    x = 58,409,450.42/9,601.64
  6. Step 6: Final answer
    x = 6,083.28

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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.