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Finding the Fourth Proportional to 8,537.88, 11,734.58 and 7,537.08

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Solution

The fourth proportional to 8,537.88, 11,734.58 and 7,537.08 is: 10,359.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.88 : 11,734.58 = 7,537.08 : x
  2. Step 2: Convert to fraction form
    8,537.88/11,734.58 = 7,537.08/x
  3. Step 3: Cross multiply
    8,537.88x = 11,734.58 × 7,537.08
  4. Step 4: Simplify right side
    8,537.88x = 88,444,468.23
  5. Step 5: Solve for x
    x = 88,444,468.23/8,537.88
  6. Step 6: Final answer
    x = 10,359.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.