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Finding the Fourth Proportional to 6,866.50, 10,299.75 and 2,762.50

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Solution

The fourth proportional to 6,866.50, 10,299.75 and 2,762.50 is: 4,143.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866.50 : 10,299.75 = 2,762.50 : x
  2. Step 2: Convert to fraction form
    6,866.50/10,299.75 = 2,762.50/x
  3. Step 3: Cross multiply
    6,866.50x = 10,299.75 × 2,762.50
  4. Step 4: Simplify right side
    6,866.50x = 28,453,059.38
  5. Step 5: Solve for x
    x = 28,453,059.38/6,866.50
  6. Step 6: Final answer
    x = 4,143.75

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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.