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Finding the Fourth Proportional to 6,458.54, 9,686.77 and 1,840.46

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Solution

The fourth proportional to 6,458.54, 9,686.77 and 1,840.46 is: 2,760.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.54 : 9,686.77 = 1,840.46 : x
  2. Step 2: Convert to fraction form
    6,458.54/9,686.77 = 1,840.46/x
  3. Step 3: Cross multiply
    6,458.54x = 9,686.77 × 1,840.46
  4. Step 4: Simplify right side
    6,458.54x = 17,828,112.71
  5. Step 5: Solve for x
    x = 17,828,112.71/6,458.54
  6. Step 6: Final answer
    x = 2,760.39

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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.