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Finding the Fourth Proportional to 10,804.90, 14,911.14 and 5,959.42

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Solution

The fourth proportional to 10,804.90, 14,911.14 and 5,959.42 is: 8,224.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,804.90 : 14,911.14 = 5,959.42 : x
  2. Step 2: Convert to fraction form
    10,804.90/14,911.14 = 5,959.42/x
  3. Step 3: Cross multiply
    10,804.90x = 14,911.14 × 5,959.42
  4. Step 4: Simplify right side
    10,804.90x = 88,861,745.94
  5. Step 5: Solve for x
    x = 88,861,745.94/10,804.90
  6. Step 6: Final answer
    x = 8,224.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.