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Finding the Fourth Proportional to 6,727.70, 10,091.55 and 6,598.10

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Solution

The fourth proportional to 6,727.70, 10,091.55 and 6,598.10 is: 9,897.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,727.70 : 10,091.55 = 6,598.10 : x
  2. Step 2: Convert to fraction form
    6,727.70/10,091.55 = 6,598.10/x
  3. Step 3: Cross multiply
    6,727.70x = 10,091.55 × 6,598.10
  4. Step 4: Simplify right side
    6,727.70x = 66,585,056.06
  5. Step 5: Solve for x
    x = 66,585,056.06/6,727.70
  6. Step 6: Final answer
    x = 9,897.15

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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.