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Finding the Fourth Proportional to 13,509, 20,266.74 and 4,275

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Solution

The fourth proportional to 13,509, 20,266.74 and 4,275 is: 6,413.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509 : 20,266.74 = 4,275 : x
  2. Step 2: Convert to fraction form
    13,509/20,266.74 = 4,275/x
  3. Step 3: Cross multiply
    13,509x = 20,266.74 × 4,275
  4. Step 4: Simplify right side
    13,509x = 86,640,313.50
  5. Step 5: Solve for x
    x = 86,640,313.50/13,509
  6. Step 6: Final answer
    x = 6,413.53

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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.