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Finding the Fourth Proportional to 4,896.30, 7,344.78 and 1,974.63

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Solution

The fourth proportional to 4,896.30, 7,344.78 and 1,974.63 is: 2,962.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.30 : 7,344.78 = 1,974.63 : x
  2. Step 2: Convert to fraction form
    4,896.30/7,344.78 = 1,974.63/x
  3. Step 3: Cross multiply
    4,896.30x = 7,344.78 × 1,974.63
  4. Step 4: Simplify right side
    4,896.30x = 14,503,222.93
  5. Step 5: Solve for x
    x = 14,503,222.93/4,896.30
  6. Step 6: Final answer
    x = 2,962.08

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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.