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Finding the Fourth Proportional to 6,656.93, 9,978.50 and 2,494.00

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Solution

The fourth proportional to 6,656.93, 9,978.50 and 2,494.00 is: 3,738.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,656.93 : 9,978.50 = 2,494.00 : x
  2. Step 2: Convert to fraction form
    6,656.93/9,978.50 = 2,494.00/x
  3. Step 3: Cross multiply
    6,656.93x = 9,978.50 × 2,494.00
  4. Step 4: Simplify right side
    6,656.93x = 24,886,360.29
  5. Step 5: Solve for x
    x = 24,886,360.29/6,656.93
  6. Step 6: Final answer
    x = 3,738.42

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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.