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Finding the Fourth Proportional to 5,971.72, 8,222.14 and 5,418.13

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Solution

The fourth proportional to 5,971.72, 8,222.14 and 5,418.13 is: 7,459.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.72 : 8,222.14 = 5,418.13 : x
  2. Step 2: Convert to fraction form
    5,971.72/8,222.14 = 5,418.13/x
  3. Step 3: Cross multiply
    5,971.72x = 8,222.14 × 5,418.13
  4. Step 4: Simplify right side
    5,971.72x = 44,548,636.94
  5. Step 5: Solve for x
    x = 44,548,636.94/5,971.72
  6. Step 6: Final answer
    x = 7,459.94

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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.