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Finding the Fourth Proportional to 6,224.84, 9,334.52 and 1,842.64

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Solution

The fourth proportional to 6,224.84, 9,334.52 and 1,842.64 is: 2,763.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,224.84 : 9,334.52 = 1,842.64 : x
  2. Step 2: Convert to fraction form
    6,224.84/9,334.52 = 1,842.64/x
  3. Step 3: Cross multiply
    6,224.84x = 9,334.52 × 1,842.64
  4. Step 4: Simplify right side
    6,224.84x = 17,200,159.93
  5. Step 5: Solve for x
    x = 17,200,159.93/6,224.84
  6. Step 6: Final answer
    x = 2,763.15

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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.