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Finding the Fourth Proportional to 6,962.16, 9,608.48 and 3,978.44

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Solution

The fourth proportional to 6,962.16, 9,608.48 and 3,978.44 is: 5,490.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,962.16 : 9,608.48 = 3,978.44 : x
  2. Step 2: Convert to fraction form
    6,962.16/9,608.48 = 3,978.44/x
  3. Step 3: Cross multiply
    6,962.16x = 9,608.48 × 3,978.44
  4. Step 4: Simplify right side
    6,962.16x = 38,226,723.07
  5. Step 5: Solve for x
    x = 38,226,723.07/6,962.16
  6. Step 6: Final answer
    x = 5,490.64

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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.