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Finding the Fourth Proportional to 5,316.35, 7,968.47 and 4,137.64

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Solution

The fourth proportional to 5,316.35, 7,968.47 and 4,137.64 is: 6,201.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,316.35 : 7,968.47 = 4,137.64 : x
  2. Step 2: Convert to fraction form
    5,316.35/7,968.47 = 4,137.64/x
  3. Step 3: Cross multiply
    5,316.35x = 7,968.47 × 4,137.64
  4. Step 4: Simplify right side
    5,316.35x = 32,970,619.60
  5. Step 5: Solve for x
    x = 32,970,619.60/5,316.35
  6. Step 6: Final answer
    x = 6,201.75

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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.