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Finding the Fourth Proportional to 7,006.75, 10,511.13 and 2,564.62

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Solution

The fourth proportional to 7,006.75, 10,511.13 and 2,564.62 is: 3,847.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006.75 : 10,511.13 = 2,564.62 : x
  2. Step 2: Convert to fraction form
    7,006.75/10,511.13 = 2,564.62/x
  3. Step 3: Cross multiply
    7,006.75x = 10,511.13 × 2,564.62
  4. Step 4: Simplify right side
    7,006.75x = 26,957,054.22
  5. Step 5: Solve for x
    x = 26,957,054.22/7,006.75
  6. Step 6: Final answer
    x = 3,847.30

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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.