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Finding the Fourth Proportional to 9,613.44, 14,444.46 and 9,224.64

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Solution

The fourth proportional to 9,613.44, 14,444.46 and 9,224.64 is: 13,860.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,613.44 : 14,444.46 = 9,224.64 : x
  2. Step 2: Convert to fraction form
    9,613.44/14,444.46 = 9,224.64/x
  3. Step 3: Cross multiply
    9,613.44x = 14,444.46 × 9,224.64
  4. Step 4: Simplify right side
    9,613.44x = 133,244,943.49
  5. Step 5: Solve for x
    x = 133,244,943.49/9,613.44
  6. Step 6: Final answer
    x = 13,860.28

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1.5x scale

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.