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Finding the Fourth Proportional to 6,154, 9,234.64 and 2,458

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Solution

The fourth proportional to 6,154, 9,234.64 and 2,458 is: 3,688.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154 : 9,234.64 = 2,458 : x
  2. Step 2: Convert to fraction form
    6,154/9,234.64 = 2,458/x
  3. Step 3: Cross multiply
    6,154x = 9,234.64 × 2,458
  4. Step 4: Simplify right side
    6,154x = 22,698,745.12
  5. Step 5: Solve for x
    x = 22,698,745.12/6,154
  6. Step 6: Final answer
    x = 3,688.45

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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.