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Finding the Fourth Proportional to 18,509.69, 27,764.94 and 7,421.60

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Solution

The fourth proportional to 18,509.69, 27,764.94 and 7,421.60 is: 11,132.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,509.69 : 27,764.94 = 7,421.60 : x
  2. Step 2: Convert to fraction form
    18,509.69/27,764.94 = 7,421.60/x
  3. Step 3: Cross multiply
    18,509.69x = 27,764.94 × 7,421.60
  4. Step 4: Simplify right side
    18,509.69x = 206,060,278.70
  5. Step 5: Solve for x
    x = 206,060,278.70/18,509.69
  6. Step 6: Final answer
    x = 11,132.56

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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.