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Finding the Fourth Proportional to 12,734.01, 19,094.02 and 4,413.28

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Solution

The fourth proportional to 12,734.01, 19,094.02 and 4,413.28 is: 6,617.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,734.01 : 19,094.02 = 4,413.28 : x
  2. Step 2: Convert to fraction form
    12,734.01/19,094.02 = 4,413.28/x
  3. Step 3: Cross multiply
    12,734.01x = 19,094.02 × 4,413.28
  4. Step 4: Simplify right side
    12,734.01x = 84,267,256.59
  5. Step 5: Solve for x
    x = 84,267,256.59/12,734.01
  6. Step 6: Final answer
    x = 6,617.50

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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.