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Finding the Fourth Proportional to 5,922.90, 8,883.06 and 2,412

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Solution

The fourth proportional to 5,922.90, 8,883.06 and 2,412 is: 3,617.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,922.90 : 8,883.06 = 2,412 : x
  2. Step 2: Convert to fraction form
    5,922.90/8,883.06 = 2,412/x
  3. Step 3: Cross multiply
    5,922.90x = 8,883.06 × 2,412
  4. Step 4: Simplify right side
    5,922.90x = 21,425,940.72
  5. Step 5: Solve for x
    x = 21,425,940.72/5,922.90
  6. Step 6: Final answer
    x = 3,617.47

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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.