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Finding the Fourth Proportional to 6,356.66, 9,535.14 and 1,677.14

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Solution

The fourth proportional to 6,356.66, 9,535.14 and 1,677.14 is: 2,515.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.66 : 9,535.14 = 1,677.14 : x
  2. Step 2: Convert to fraction form
    6,356.66/9,535.14 = 1,677.14/x
  3. Step 3: Cross multiply
    6,356.66x = 9,535.14 × 1,677.14
  4. Step 4: Simplify right side
    6,356.66x = 15,991,780.15
  5. Step 5: Solve for x
    x = 15,991,780.15/6,356.66
  6. Step 6: Final answer
    x = 2,515.75

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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.