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Finding the Fourth Proportional to 9,616.41, 14,416.07 and 3,777.09

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Solution

The fourth proportional to 9,616.41, 14,416.07 and 3,777.09 is: 5,662.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.41 : 14,416.07 = 3,777.09 : x
  2. Step 2: Convert to fraction form
    9,616.41/14,416.07 = 3,777.09/x
  3. Step 3: Cross multiply
    9,616.41x = 14,416.07 × 3,777.09
  4. Step 4: Simplify right side
    9,616.41x = 54,450,774.95
  5. Step 5: Solve for x
    x = 54,450,774.95/9,616.41
  6. Step 6: Final answer
    x = 5,662.28

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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.