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Finding the Fourth Proportional to 6,111.64, 9,163.50 and 5,187.40

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Solution

The fourth proportional to 6,111.64, 9,163.50 and 5,187.40 is: 7,777.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,111.64 : 9,163.50 = 5,187.40 : x
  2. Step 2: Convert to fraction form
    6,111.64/9,163.50 = 5,187.40/x
  3. Step 3: Cross multiply
    6,111.64x = 9,163.50 × 5,187.40
  4. Step 4: Simplify right side
    6,111.64x = 47,534,739.90
  5. Step 5: Solve for x
    x = 47,534,739.90/6,111.64
  6. Step 6: Final answer
    x = 7,777.74

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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.