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Finding the Fourth Proportional to 15,149.94, 20,895.09 and 9,846.48

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Solution

The fourth proportional to 15,149.94, 20,895.09 and 9,846.48 is: 13,580.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,149.94 : 20,895.09 = 9,846.48 : x
  2. Step 2: Convert to fraction form
    15,149.94/20,895.09 = 9,846.48/x
  3. Step 3: Cross multiply
    15,149.94x = 20,895.09 × 9,846.48
  4. Step 4: Simplify right side
    15,149.94x = 205,743,085.78
  5. Step 5: Solve for x
    x = 205,743,085.78/15,149.94
  6. Step 6: Final answer
    x = 13,580.46

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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.