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Finding the Fourth Proportional to 12,295.52, 16,969.25 and 6,991.13

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Solution

The fourth proportional to 12,295.52, 16,969.25 and 6,991.13 is: 9,648.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,295.52 : 16,969.25 = 6,991.13 : x
  2. Step 2: Convert to fraction form
    12,295.52/16,969.25 = 6,991.13/x
  3. Step 3: Cross multiply
    12,295.52x = 16,969.25 × 6,991.13
  4. Step 4: Simplify right side
    12,295.52x = 118,634,190.33
  5. Step 5: Solve for x
    x = 118,634,190.33/12,295.52
  6. Step 6: Final answer
    x = 9,648.57

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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.