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Finding the Fourth Proportional to 6,965.94, 10,448.63 and 1,771.95

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Solution

The fourth proportional to 6,965.94, 10,448.63 and 1,771.95 is: 2,657.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965.94 : 10,448.63 = 1,771.95 : x
  2. Step 2: Convert to fraction form
    6,965.94/10,448.63 = 1,771.95/x
  3. Step 3: Cross multiply
    6,965.94x = 10,448.63 × 1,771.95
  4. Step 4: Simplify right side
    6,965.94x = 18,514,402.12
  5. Step 5: Solve for x
    x = 18,514,402.12/6,965.94
  6. Step 6: Final answer
    x = 2,657.85

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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.