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Finding the Fourth Proportional to 11,850.37, 16,351.37 and 7,656.19

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Solution

The fourth proportional to 11,850.37, 16,351.37 and 7,656.19 is: 10,564.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,850.37 : 16,351.37 = 7,656.19 : x
  2. Step 2: Convert to fraction form
    11,850.37/16,351.37 = 7,656.19/x
  3. Step 3: Cross multiply
    11,850.37x = 16,351.37 × 7,656.19
  4. Step 4: Simplify right side
    11,850.37x = 125,189,145.03
  5. Step 5: Solve for x
    x = 125,189,145.03/11,850.37
  6. Step 6: Final answer
    x = 10,564.16

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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.