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Finding the Fourth Proportional to 6,950.69, 9,593.64 and 4,296.50

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Solution

The fourth proportional to 6,950.69, 9,593.64 and 4,296.50 is: 5,930.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,950.69 : 9,593.64 = 4,296.50 : x
  2. Step 2: Convert to fraction form
    6,950.69/9,593.64 = 4,296.50/x
  3. Step 3: Cross multiply
    6,950.69x = 9,593.64 × 4,296.50
  4. Step 4: Simplify right side
    6,950.69x = 41,219,074.26
  5. Step 5: Solve for x
    x = 41,219,074.26/6,950.69
  6. Step 6: Final answer
    x = 5,930.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.