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Finding the Fourth Proportional to 6,102, 9,158.14 and 4,719.06

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Solution

The fourth proportional to 6,102, 9,158.14 and 4,719.06 is: 7,082.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102 : 9,158.14 = 4,719.06 : x
  2. Step 2: Convert to fraction form
    6,102/9,158.14 = 4,719.06/x
  3. Step 3: Cross multiply
    6,102x = 9,158.14 × 4,719.06
  4. Step 4: Simplify right side
    6,102x = 43,217,812.15
  5. Step 5: Solve for x
    x = 43,217,812.15/6,102
  6. Step 6: Final answer
    x = 7,082.57

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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.