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Finding the Fourth Proportional to 6,940.90, 9,575.22 and 6,145.03

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Solution

The fourth proportional to 6,940.90, 9,575.22 and 6,145.03 is: 8,477.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940.90 : 9,575.22 = 6,145.03 : x
  2. Step 2: Convert to fraction form
    6,940.90/9,575.22 = 6,145.03/x
  3. Step 3: Cross multiply
    6,940.90x = 9,575.22 × 6,145.03
  4. Step 4: Simplify right side
    6,940.90x = 58,840,014.16
  5. Step 5: Solve for x
    x = 58,840,014.16/6,940.90
  6. Step 6: Final answer
    x = 8,477.29

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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.