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Finding the Fourth Proportional to 12,851.94, 19,270.35 and 6,271.50

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Solution

The fourth proportional to 12,851.94, 19,270.35 and 6,271.50 is: 9,403.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,851.94 : 19,270.35 = 6,271.50 : x
  2. Step 2: Convert to fraction form
    12,851.94/19,270.35 = 6,271.50/x
  3. Step 3: Cross multiply
    12,851.94x = 19,270.35 × 6,271.50
  4. Step 4: Simplify right side
    12,851.94x = 120,854,000.03
  5. Step 5: Solve for x
    x = 120,854,000.03/12,851.94
  6. Step 6: Final answer
    x = 9,403.56

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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.