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Finding the Fourth Proportional to 6,860.30, 10,295.64 and 4,519.50

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Solution

The fourth proportional to 6,860.30, 10,295.64 and 4,519.50 is: 6,782.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,860.30 : 10,295.64 = 4,519.50 : x
  2. Step 2: Convert to fraction form
    6,860.30/10,295.64 = 4,519.50/x
  3. Step 3: Cross multiply
    6,860.30x = 10,295.64 × 4,519.50
  4. Step 4: Simplify right side
    6,860.30x = 46,531,144.98
  5. Step 5: Solve for x
    x = 46,531,144.98/6,860.30
  6. Step 6: Final answer
    x = 6,782.67

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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.