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Finding the Fourth Proportional to 7,661.24, 11,494.86 and 6,194.16

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Solution

The fourth proportional to 7,661.24, 11,494.86 and 6,194.16 is: 9,293.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,661.24 : 11,494.86 = 6,194.16 : x
  2. Step 2: Convert to fraction form
    7,661.24/11,494.86 = 6,194.16/x
  3. Step 3: Cross multiply
    7,661.24x = 11,494.86 × 6,194.16
  4. Step 4: Simplify right side
    7,661.24x = 71,201,002.02
  5. Step 5: Solve for x
    x = 71,201,002.02/7,661.24
  6. Step 6: Final answer
    x = 9,293.67

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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.