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Finding the Fourth Proportional to 6,657.12, 9,985.44 and 2,040

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Solution

The fourth proportional to 6,657.12, 9,985.44 and 2,040 is: 3,059.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,657.12 : 9,985.44 = 2,040 : x
  2. Step 2: Convert to fraction form
    6,657.12/9,985.44 = 2,040/x
  3. Step 3: Cross multiply
    6,657.12x = 9,985.44 × 2,040
  4. Step 4: Simplify right side
    6,657.12x = 20,370,297.60
  5. Step 5: Solve for x
    x = 20,370,297.60/6,657.12
  6. Step 6: Final answer
    x = 3,059.93

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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.