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Finding the Fourth Proportional to 6,102.72, 9,154.56 and 3,024

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Solution

The fourth proportional to 6,102.72, 9,154.56 and 3,024 is: 4,536.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.72 : 9,154.56 = 3,024 : x
  2. Step 2: Convert to fraction form
    6,102.72/9,154.56 = 3,024/x
  3. Step 3: Cross multiply
    6,102.72x = 9,154.56 × 3,024
  4. Step 4: Simplify right side
    6,102.72x = 27,683,389.44
  5. Step 5: Solve for x
    x = 27,683,389.44/6,102.72
  6. Step 6: Final answer
    x = 4,536.24

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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.