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Finding the Fourth Proportional to 6,980.90, 9,629.96 and 5,299.52

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Solution

The fourth proportional to 6,980.90, 9,629.96 and 5,299.52 is: 7,310.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.90 : 9,629.96 = 5,299.52 : x
  2. Step 2: Convert to fraction form
    6,980.90/9,629.96 = 5,299.52/x
  3. Step 3: Cross multiply
    6,980.90x = 9,629.96 × 5,299.52
  4. Step 4: Simplify right side
    6,980.90x = 51,034,090.97
  5. Step 5: Solve for x
    x = 51,034,090.97/6,980.90
  6. Step 6: Final answer
    x = 7,310.54

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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.