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Finding the Fourth Proportional to 9,224.44, 13,836.66 and 8,303.86

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Solution

The fourth proportional to 9,224.44, 13,836.66 and 8,303.86 is: 12,455.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224.44 : 13,836.66 = 8,303.86 : x
  2. Step 2: Convert to fraction form
    9,224.44/13,836.66 = 8,303.86/x
  3. Step 3: Cross multiply
    9,224.44x = 13,836.66 × 8,303.86
  4. Step 4: Simplify right side
    9,224.44x = 114,897,687.51
  5. Step 5: Solve for x
    x = 114,897,687.51/9,224.44
  6. Step 6: Final answer
    x = 12,455.79

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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.