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Finding the Fourth Proportional to 13,597.44, 18,766.80 and 8,009.52

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Solution

The fourth proportional to 13,597.44, 18,766.80 and 8,009.52 is: 11,054.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,597.44 : 18,766.80 = 8,009.52 : x
  2. Step 2: Convert to fraction form
    13,597.44/18,766.80 = 8,009.52/x
  3. Step 3: Cross multiply
    13,597.44x = 18,766.80 × 8,009.52
  4. Step 4: Simplify right side
    13,597.44x = 150,313,059.94
  5. Step 5: Solve for x
    x = 150,313,059.94/13,597.44
  6. Step 6: Final answer
    x = 11,054.51

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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.