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Finding the Fourth Proportional to 6,101.04, 9,152.10 and 1,718.54

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Solution

The fourth proportional to 6,101.04, 9,152.10 and 1,718.54 is: 2,577.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.04 : 9,152.10 = 1,718.54 : x
  2. Step 2: Convert to fraction form
    6,101.04/9,152.10 = 1,718.54/x
  3. Step 3: Cross multiply
    6,101.04x = 9,152.10 × 1,718.54
  4. Step 4: Simplify right side
    6,101.04x = 15,728,249.93
  5. Step 5: Solve for x
    x = 15,728,249.93/6,101.04
  6. Step 6: Final answer
    x = 2,577.96

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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.