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Finding the Fourth Proportional to 11,437.54, 17,156.08 and 4,777.62

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Solution

The fourth proportional to 11,437.54, 17,156.08 and 4,777.62 is: 7,166.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,437.54 : 17,156.08 = 4,777.62 : x
  2. Step 2: Convert to fraction form
    11,437.54/17,156.08 = 4,777.62/x
  3. Step 3: Cross multiply
    11,437.54x = 17,156.08 × 4,777.62
  4. Step 4: Simplify right side
    11,437.54x = 81,965,230.93
  5. Step 5: Solve for x
    x = 81,965,230.93/11,437.54
  6. Step 6: Final answer
    x = 7,166.33

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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.