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Finding the Fourth Proportional to 13,597.72, 18,764.22 and 8,007.64

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Solution

The fourth proportional to 13,597.72, 18,764.22 and 8,007.64 is: 11,050.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,597.72 : 18,764.22 = 8,007.64 : x
  2. Step 2: Convert to fraction form
    13,597.72/18,764.22 = 8,007.64/x
  3. Step 3: Cross multiply
    13,597.72x = 18,764.22 × 8,007.64
  4. Step 4: Simplify right side
    13,597.72x = 150,257,118.64
  5. Step 5: Solve for x
    x = 150,257,118.64/13,597.72
  6. Step 6: Final answer
    x = 11,050.17

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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.