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Finding the Fourth Proportional to 9,303.96, 13,975.92 and 5,843.64

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Solution

The fourth proportional to 9,303.96, 13,975.92 and 5,843.64 is: 8,778.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,303.96 : 13,975.92 = 5,843.64 : x
  2. Step 2: Convert to fraction form
    9,303.96/13,975.92 = 5,843.64/x
  3. Step 3: Cross multiply
    9,303.96x = 13,975.92 × 5,843.64
  4. Step 4: Simplify right side
    9,303.96x = 81,670,245.15
  5. Step 5: Solve for x
    x = 81,670,245.15/9,303.96
  6. Step 6: Final answer
    x = 8,778.01

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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.