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Finding the Fourth Proportional to 15,583.22, 21,504.96 and 8,509.66

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Solution

The fourth proportional to 15,583.22, 21,504.96 and 8,509.66 is: 11,743.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,583.22 : 21,504.96 = 8,509.66 : x
  2. Step 2: Convert to fraction form
    15,583.22/21,504.96 = 8,509.66/x
  3. Step 3: Cross multiply
    15,583.22x = 21,504.96 × 8,509.66
  4. Step 4: Simplify right side
    15,583.22x = 182,999,844.15
  5. Step 5: Solve for x
    x = 182,999,844.15/15,583.22
  6. Step 6: Final answer
    x = 11,743.39

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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.