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Finding the Fourth Proportional to 11,537.88, 15,911.82 and 7,557.54

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Solution

The fourth proportional to 11,537.88, 15,911.82 and 7,557.54 is: 10,422.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,537.88 : 15,911.82 = 7,557.54 : x
  2. Step 2: Convert to fraction form
    11,537.88/15,911.82 = 7,557.54/x
  3. Step 3: Cross multiply
    11,537.88x = 15,911.82 × 7,557.54
  4. Step 4: Simplify right side
    11,537.88x = 120,254,216.12
  5. Step 5: Solve for x
    x = 120,254,216.12/11,537.88
  6. Step 6: Final answer
    x = 10,422.56

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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.