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Finding the Fourth Proportional to 5,971.75, 8,222.19 and 5,418.16

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Solution

The fourth proportional to 5,971.75, 8,222.19 and 5,418.16 is: 7,459.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.75 : 8,222.19 = 5,418.16 : x
  2. Step 2: Convert to fraction form
    5,971.75/8,222.19 = 5,418.16/x
  3. Step 3: Cross multiply
    5,971.75x = 8,222.19 × 5,418.16
  4. Step 4: Simplify right side
    5,971.75x = 44,549,134.44
  5. Step 5: Solve for x
    x = 44,549,134.44/5,971.75
  6. Step 6: Final answer
    x = 7,459.98

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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.