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Finding the Fourth Proportional to 6,965.90, 10,449 and 1,771.77

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Solution

The fourth proportional to 6,965.90, 10,449 and 1,771.77 is: 2,657.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965.90 : 10,449 = 1,771.77 : x
  2. Step 2: Convert to fraction form
    6,965.90/10,449 = 1,771.77/x
  3. Step 3: Cross multiply
    6,965.90x = 10,449 × 1,771.77
  4. Step 4: Simplify right side
    6,965.90x = 18,513,263.91
  5. Step 5: Solve for x
    x = 18,513,263.91/6,965.90
  6. Step 6: Final answer
    x = 2,657.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.