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Finding the Fourth Proportional to 6,458.98, 9,686.58 and 2,947

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Solution

The fourth proportional to 6,458.98, 9,686.58 and 2,947 is: 4,419.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.98 : 9,686.58 = 2,947 : x
  2. Step 2: Convert to fraction form
    6,458.98/9,686.58 = 2,947/x
  3. Step 3: Cross multiply
    6,458.98x = 9,686.58 × 2,947
  4. Step 4: Simplify right side
    6,458.98x = 28,546,351.26
  5. Step 5: Solve for x
    x = 28,546,351.26/6,458.98
  6. Step 6: Final answer
    x = 4,419.64

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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.