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Finding the Fourth Proportional to 8,697, 12,002.22 and 4,971

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Solution

The fourth proportional to 8,697, 12,002.22 and 4,971 is: 6,860.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,697 : 12,002.22 = 4,971 : x
  2. Step 2: Convert to fraction form
    8,697/12,002.22 = 4,971/x
  3. Step 3: Cross multiply
    8,697x = 12,002.22 × 4,971
  4. Step 4: Simplify right side
    8,697x = 59,663,035.62
  5. Step 5: Solve for x
    x = 59,663,035.62/8,697
  6. Step 6: Final answer
    x = 6,860.19

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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.