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Finding the Fourth Proportional to 4,599.14, 6,897.89 and 1,968.12

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Solution

The fourth proportional to 4,599.14, 6,897.89 and 1,968.12 is: 2,951.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,599.14 : 6,897.89 = 1,968.12 : x
  2. Step 2: Convert to fraction form
    4,599.14/6,897.89 = 1,968.12/x
  3. Step 3: Cross multiply
    4,599.14x = 6,897.89 × 1,968.12
  4. Step 4: Simplify right side
    4,599.14x = 13,575,865.43
  5. Step 5: Solve for x
    x = 13,575,865.43/4,599.14
  6. Step 6: Final answer
    x = 2,951.83

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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.