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Finding the Fourth Proportional to 6,941.90, 9,580.06 and 3,798.09

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Solution

The fourth proportional to 6,941.90, 9,580.06 and 3,798.09 is: 5,241.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,941.90 : 9,580.06 = 3,798.09 : x
  2. Step 2: Convert to fraction form
    6,941.90/9,580.06 = 3,798.09/x
  3. Step 3: Cross multiply
    6,941.90x = 9,580.06 × 3,798.09
  4. Step 4: Simplify right side
    6,941.90x = 36,385,930.09
  5. Step 5: Solve for x
    x = 36,385,930.09/6,941.90
  6. Step 6: Final answer
    x = 5,241.49

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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.