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Finding the Fourth Proportional to 12,770.25, 19,143.06 and 6,533.20

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Solution

The fourth proportional to 12,770.25, 19,143.06 and 6,533.20 is: 9,793.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,770.25 : 19,143.06 = 6,533.20 : x
  2. Step 2: Convert to fraction form
    12,770.25/19,143.06 = 6,533.20/x
  3. Step 3: Cross multiply
    12,770.25x = 19,143.06 × 6,533.20
  4. Step 4: Simplify right side
    12,770.25x = 125,065,488.02
  5. Step 5: Solve for x
    x = 125,065,488.02/12,770.25
  6. Step 6: Final answer
    x = 9,793.50

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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.