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Finding the Fourth Proportional to 6,998.26, 9,655.95 and 4,166.50

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Solution

The fourth proportional to 6,998.26, 9,655.95 and 4,166.50 is: 5,748.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.26 : 9,655.95 = 4,166.50 : x
  2. Step 2: Convert to fraction form
    6,998.26/9,655.95 = 4,166.50/x
  3. Step 3: Cross multiply
    6,998.26x = 9,655.95 × 4,166.50
  4. Step 4: Simplify right side
    6,998.26x = 40,231,515.68
  5. Step 5: Solve for x
    x = 40,231,515.68/6,998.26
  6. Step 6: Final answer
    x = 5,748.79

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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.