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Finding the Fourth Proportional to 9,963.63, 13,650.23 and 9,589.95

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Solution

The fourth proportional to 9,963.63, 13,650.23 and 9,589.95 is: 13,138.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,963.63 : 13,650.23 = 9,589.95 : x
  2. Step 2: Convert to fraction form
    9,963.63/13,650.23 = 9,589.95/x
  3. Step 3: Cross multiply
    9,963.63x = 13,650.23 × 9,589.95
  4. Step 4: Simplify right side
    9,963.63x = 130,905,047.16
  5. Step 5: Solve for x
    x = 130,905,047.16/9,963.63
  6. Step 6: Final answer
    x = 13,138.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.