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Finding the Fourth Proportional to 11,548.96, 15,939.04 and 7,573.44

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Solution

The fourth proportional to 11,548.96, 15,939.04 and 7,573.44 is: 10,452.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,548.96 : 15,939.04 = 7,573.44 : x
  2. Step 2: Convert to fraction form
    11,548.96/15,939.04 = 7,573.44/x
  3. Step 3: Cross multiply
    11,548.96x = 15,939.04 × 7,573.44
  4. Step 4: Simplify right side
    11,548.96x = 120,713,363.10
  5. Step 5: Solve for x
    x = 120,713,363.10/11,548.96
  6. Step 6: Final answer
    x = 10,452.31

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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.