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Finding the Fourth Proportional to 5,984.25, 8,962.44 and 5,776.62

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Solution

The fourth proportional to 5,984.25, 8,962.44 and 5,776.62 is: 8,651.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.25 : 8,962.44 = 5,776.62 : x
  2. Step 2: Convert to fraction form
    5,984.25/8,962.44 = 5,776.62/x
  3. Step 3: Cross multiply
    5,984.25x = 8,962.44 × 5,776.62
  4. Step 4: Simplify right side
    5,984.25x = 51,772,610.15
  5. Step 5: Solve for x
    x = 51,772,610.15/5,984.25
  6. Step 6: Final answer
    x = 8,651.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.