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Finding the Fourth Proportional to 11,777.54, 17,666.24 and 3,012.46

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Solution

The fourth proportional to 11,777.54, 17,666.24 and 3,012.46 is: 4,518.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.54 : 17,666.24 = 3,012.46 : x
  2. Step 2: Convert to fraction form
    11,777.54/17,666.24 = 3,012.46/x
  3. Step 3: Cross multiply
    11,777.54x = 17,666.24 × 3,012.46
  4. Step 4: Simplify right side
    11,777.54x = 53,218,782.12
  5. Step 5: Solve for x
    x = 53,218,782.12/11,777.54
  6. Step 6: Final answer
    x = 4,518.67

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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.