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Finding the Fourth Proportional to 27,509.76, 41,252.22 and 7,783.62

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Solution

The fourth proportional to 27,509.76, 41,252.22 and 7,783.62 is: 11,671.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,509.76 : 41,252.22 = 7,783.62 : x
  2. Step 2: Convert to fraction form
    27,509.76/41,252.22 = 7,783.62/x
  3. Step 3: Cross multiply
    27,509.76x = 41,252.22 × 7,783.62
  4. Step 4: Simplify right side
    27,509.76x = 321,091,604.64
  5. Step 5: Solve for x
    x = 321,091,604.64/27,509.76
  6. Step 6: Final answer
    x = 11,671.92

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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.