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Finding the Fourth Proportional to 6,548.06, 9,816.60 and 2,655.20

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Solution

The fourth proportional to 6,548.06, 9,816.60 and 2,655.20 is: 3,980.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548.06 : 9,816.60 = 2,655.20 : x
  2. Step 2: Convert to fraction form
    6,548.06/9,816.60 = 2,655.20/x
  3. Step 3: Cross multiply
    6,548.06x = 9,816.60 × 2,655.20
  4. Step 4: Simplify right side
    6,548.06x = 26,065,036.32
  5. Step 5: Solve for x
    x = 26,065,036.32/6,548.06
  6. Step 6: Final answer
    x = 3,980.57

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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.