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Finding the Fourth Proportional to 6,899, 10,349.58 and 2,283.08

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Solution

The fourth proportional to 6,899, 10,349.58 and 2,283.08 is: 3,424.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,899 : 10,349.58 = 2,283.08 : x
  2. Step 2: Convert to fraction form
    6,899/10,349.58 = 2,283.08/x
  3. Step 3: Cross multiply
    6,899x = 10,349.58 × 2,283.08
  4. Step 4: Simplify right side
    6,899x = 23,628,919.11
  5. Step 5: Solve for x
    x = 23,628,919.11/6,899
  6. Step 6: Final answer
    x = 3,424.98

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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.