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Finding the Fourth Proportional to 6,565.88, 9,850.44 and 1,948.88

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Solution

The fourth proportional to 6,565.88, 9,850.44 and 1,948.88 is: 2,923.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.88 : 9,850.44 = 1,948.88 : x
  2. Step 2: Convert to fraction form
    6,565.88/9,850.44 = 1,948.88/x
  3. Step 3: Cross multiply
    6,565.88x = 9,850.44 × 1,948.88
  4. Step 4: Simplify right side
    6,565.88x = 19,197,325.51
  5. Step 5: Solve for x
    x = 19,197,325.51/6,565.88
  6. Step 6: Final answer
    x = 2,923.80

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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.