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Finding the Fourth Proportional to 6,055.96, 9,082.02 and 1,951

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Solution

The fourth proportional to 6,055.96, 9,082.02 and 1,951 is: 2,925.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,055.96 : 9,082.02 = 1,951 : x
  2. Step 2: Convert to fraction form
    6,055.96/9,082.02 = 1,951/x
  3. Step 3: Cross multiply
    6,055.96x = 9,082.02 × 1,951
  4. Step 4: Simplify right side
    6,055.96x = 17,719,021.02
  5. Step 5: Solve for x
    x = 17,719,021.02/6,055.96
  6. Step 6: Final answer
    x = 2,925.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.