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Finding the Fourth Proportional to 11,006.50, 16,509.75 and 4,850.50

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Solution

The fourth proportional to 11,006.50, 16,509.75 and 4,850.50 is: 7,275.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,006.50 : 16,509.75 = 4,850.50 : x
  2. Step 2: Convert to fraction form
    11,006.50/16,509.75 = 4,850.50/x
  3. Step 3: Cross multiply
    11,006.50x = 16,509.75 × 4,850.50
  4. Step 4: Simplify right side
    11,006.50x = 80,080,542.38
  5. Step 5: Solve for x
    x = 80,080,542.38/11,006.50
  6. Step 6: Final answer
    x = 7,275.75

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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.