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Finding the Fourth Proportional to 27,783, 41,674.50 and 7,006.50

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Solution

The fourth proportional to 27,783, 41,674.50 and 7,006.50 is: 10,509.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,783 : 41,674.50 = 7,006.50 : x
  2. Step 2: Convert to fraction form
    27,783/41,674.50 = 7,006.50/x
  3. Step 3: Cross multiply
    27,783x = 41,674.50 × 7,006.50
  4. Step 4: Simplify right side
    27,783x = 291,992,384.25
  5. Step 5: Solve for x
    x = 291,992,384.25/27,783
  6. Step 6: Final answer
    x = 10,509.75

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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.