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Finding the Fourth Proportional to 11,072.30, 15,540.10 and 11,072.30

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Solution

The fourth proportional to 11,072.30, 15,540.10 and 11,072.30 is: 15,540.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,072.30 : 15,540.10 = 11,072.30 : x
  2. Step 2: Convert to fraction form
    11,072.30/15,540.10 = 11,072.30/x
  3. Step 3: Cross multiply
    11,072.30x = 15,540.10 × 11,072.30
  4. Step 4: Simplify right side
    11,072.30x = 172,064,649.23
  5. Step 5: Solve for x
    x = 172,064,649.23/11,072.30
  6. Step 6: Final answer
    x = 15,540.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.