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Finding the Fourth Proportional to 6,962.37, 9,607.44 and 3,978.19

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Solution

The fourth proportional to 6,962.37, 9,607.44 and 3,978.19 is: 5,489.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,962.37 : 9,607.44 = 3,978.19 : x
  2. Step 2: Convert to fraction form
    6,962.37/9,607.44 = 3,978.19/x
  3. Step 3: Cross multiply
    6,962.37x = 9,607.44 × 3,978.19
  4. Step 4: Simplify right side
    6,962.37x = 38,220,221.73
  5. Step 5: Solve for x
    x = 38,220,221.73/6,962.37
  6. Step 6: Final answer
    x = 5,489.54

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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.