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Finding the Fourth Proportional to 4,497.84, 6,745.73 and 1,211.19

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Solution

The fourth proportional to 4,497.84, 6,745.73 and 1,211.19 is: 1,816.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,497.84 : 6,745.73 = 1,211.19 : x
  2. Step 2: Convert to fraction form
    4,497.84/6,745.73 = 1,211.19/x
  3. Step 3: Cross multiply
    4,497.84x = 6,745.73 × 1,211.19
  4. Step 4: Simplify right side
    4,497.84x = 8,170,354.66
  5. Step 5: Solve for x
    x = 8,170,354.66/4,497.84
  6. Step 6: Final answer
    x = 1,816.51

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Double scale
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1.5x scale

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.