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Finding the Fourth Proportional to 9,616.40, 14,435.40 and 5,231.60

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Solution

The fourth proportional to 9,616.40, 14,435.40 and 5,231.60 is: 7,853.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.40 : 14,435.40 = 5,231.60 : x
  2. Step 2: Convert to fraction form
    9,616.40/14,435.40 = 5,231.60/x
  3. Step 3: Cross multiply
    9,616.40x = 14,435.40 × 5,231.60
  4. Step 4: Simplify right side
    9,616.40x = 75,520,238.64
  5. Step 5: Solve for x
    x = 75,520,238.64/9,616.40
  6. Step 6: Final answer
    x = 7,853.28

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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.