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Finding the Fourth Proportional to 5,283.83, 7,927.12 and 1,996.95

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Solution

The fourth proportional to 5,283.83, 7,927.12 and 1,996.95 is: 2,995.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,283.83 : 7,927.12 = 1,996.95 : x
  2. Step 2: Convert to fraction form
    5,283.83/7,927.12 = 1,996.95/x
  3. Step 3: Cross multiply
    5,283.83x = 7,927.12 × 1,996.95
  4. Step 4: Simplify right side
    5,283.83x = 15,830,083.27
  5. Step 5: Solve for x
    x = 15,830,083.27/5,283.83
  6. Step 6: Final answer
    x = 2,995.95

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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.