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Finding the Fourth Proportional to 12,577, 18,874.14 and 4,369

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Solution

The fourth proportional to 12,577, 18,874.14 and 4,369 is: 6,556.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,577 : 18,874.14 = 4,369 : x
  2. Step 2: Convert to fraction form
    12,577/18,874.14 = 4,369/x
  3. Step 3: Cross multiply
    12,577x = 18,874.14 × 4,369
  4. Step 4: Simplify right side
    12,577x = 82,461,117.66
  5. Step 5: Solve for x
    x = 82,461,117.66/12,577
  6. Step 6: Final answer
    x = 6,556.50

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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.