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Finding the Fourth Proportional to 6,184.54, 9,276.50 and 2,024

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Solution

The fourth proportional to 6,184.54, 9,276.50 and 2,024 is: 3,035.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.54 : 9,276.50 = 2,024 : x
  2. Step 2: Convert to fraction form
    6,184.54/9,276.50 = 2,024/x
  3. Step 3: Cross multiply
    6,184.54x = 9,276.50 × 2,024
  4. Step 4: Simplify right side
    6,184.54x = 18,775,636
  5. Step 5: Solve for x
    x = 18,775,636/6,184.54
  6. Step 6: Final answer
    x = 3,035.90

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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.