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Finding the Fourth Proportional to 4,940.93, 7,411.41 and 4,012.08

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Solution

The fourth proportional to 4,940.93, 7,411.41 and 4,012.08 is: 6,018.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,940.93 : 7,411.41 = 4,012.08 : x
  2. Step 2: Convert to fraction form
    4,940.93/7,411.41 = 4,012.08/x
  3. Step 3: Cross multiply
    4,940.93x = 7,411.41 × 4,012.08
  4. Step 4: Simplify right side
    4,940.93x = 29,735,169.83
  5. Step 5: Solve for x
    x = 29,735,169.83/4,940.93
  6. Step 6: Final answer
    x = 6,018.14

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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.