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Finding the Fourth Proportional to 10,573.09, 15,815.80 and 8,055.22

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Solution

The fourth proportional to 10,573.09, 15,815.80 and 8,055.22 is: 12,049.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,573.09 : 15,815.80 = 8,055.22 : x
  2. Step 2: Convert to fraction form
    10,573.09/15,815.80 = 8,055.22/x
  3. Step 3: Cross multiply
    10,573.09x = 15,815.80 × 8,055.22
  4. Step 4: Simplify right side
    10,573.09x = 127,399,708.20
  5. Step 5: Solve for x
    x = 127,399,708.20/10,573.09
  6. Step 6: Final answer
    x = 12,049.44

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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.