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Finding the Fourth Proportional to 12,773, 19,145.86 and 6,184.73

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Solution

The fourth proportional to 12,773, 19,145.86 and 6,184.73 is: 9,270.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,773 : 19,145.86 = 6,184.73 : x
  2. Step 2: Convert to fraction form
    12,773/19,145.86 = 6,184.73/x
  3. Step 3: Cross multiply
    12,773x = 19,145.86 × 6,184.73
  4. Step 4: Simplify right side
    12,773x = 118,411,974.72
  5. Step 5: Solve for x
    x = 118,411,974.72/12,773
  6. Step 6: Final answer
    x = 9,270.49

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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.