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Finding the Fourth Proportional to 4,966.36, 7,449.70 and 2,369.56

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Solution

The fourth proportional to 4,966.36, 7,449.70 and 2,369.56 is: 3,554.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.36 : 7,449.70 = 2,369.56 : x
  2. Step 2: Convert to fraction form
    4,966.36/7,449.70 = 2,369.56/x
  3. Step 3: Cross multiply
    4,966.36x = 7,449.70 × 2,369.56
  4. Step 4: Simplify right side
    4,966.36x = 17,652,511.13
  5. Step 5: Solve for x
    x = 17,652,511.13/4,966.36
  6. Step 6: Final answer
    x = 3,554.42

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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.