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Finding the Fourth Proportional to 6,967.80, 10,451.64 and 1,774.08

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Solution

The fourth proportional to 6,967.80, 10,451.64 and 1,774.08 is: 2,661.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,967.80 : 10,451.64 = 1,774.08 : x
  2. Step 2: Convert to fraction form
    6,967.80/10,451.64 = 1,774.08/x
  3. Step 3: Cross multiply
    6,967.80x = 10,451.64 × 1,774.08
  4. Step 4: Simplify right side
    6,967.80x = 18,542,045.49
  5. Step 5: Solve for x
    x = 18,542,045.49/6,967.80
  6. Step 6: Final answer
    x = 2,661.10

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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.