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Finding the Fourth Proportional to 15,632.88, 21,573 and 8,559.18

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Solution

The fourth proportional to 15,632.88, 21,573 and 8,559.18 is: 11,811.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,632.88 : 21,573 = 8,559.18 : x
  2. Step 2: Convert to fraction form
    15,632.88/21,573 = 8,559.18/x
  3. Step 3: Cross multiply
    15,632.88x = 21,573 × 8,559.18
  4. Step 4: Simplify right side
    15,632.88x = 184,647,190.14
  5. Step 5: Solve for x
    x = 184,647,190.14/15,632.88
  6. Step 6: Final answer
    x = 11,811.46

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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.