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Finding the Fourth Proportional to 7,083.89, 9,775.50 and 3,940.01

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Solution

The fourth proportional to 7,083.89, 9,775.50 and 3,940.01 is: 5,437.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,083.89 : 9,775.50 = 3,940.01 : x
  2. Step 2: Convert to fraction form
    7,083.89/9,775.50 = 3,940.01/x
  3. Step 3: Cross multiply
    7,083.89x = 9,775.50 × 3,940.01
  4. Step 4: Simplify right side
    7,083.89x = 38,515,518.88
  5. Step 5: Solve for x
    x = 38,515,518.88/7,083.89
  6. Step 6: Final answer
    x = 5,437.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.