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Finding the Fourth Proportional to 13,050, 19,557.27 and 6,014.54

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Solution

The fourth proportional to 13,050, 19,557.27 and 6,014.54 is: 9,013.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,050 : 19,557.27 = 6,014.54 : x
  2. Step 2: Convert to fraction form
    13,050/19,557.27 = 6,014.54/x
  3. Step 3: Cross multiply
    13,050x = 19,557.27 × 6,014.54
  4. Step 4: Simplify right side
    13,050x = 117,627,884.92
  5. Step 5: Solve for x
    x = 117,627,884.92/13,050
  6. Step 6: Final answer
    x = 9,013.63

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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.