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Finding the Fourth Proportional to 5,987.84, 8,976.24 and 5,495.84

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Solution

The fourth proportional to 5,987.84, 8,976.24 and 5,495.84 is: 8,238.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,987.84 : 8,976.24 = 5,495.84 : x
  2. Step 2: Convert to fraction form
    5,987.84/8,976.24 = 5,495.84/x
  3. Step 3: Cross multiply
    5,987.84x = 8,976.24 × 5,495.84
  4. Step 4: Simplify right side
    5,987.84x = 49,331,978.84
  5. Step 5: Solve for x
    x = 49,331,978.84/5,987.84
  6. Step 6: Final answer
    x = 8,238.69

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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.