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Finding the Fourth Proportional to 17,633.64, 24,336 and 9,677.42

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Solution

The fourth proportional to 17,633.64, 24,336 and 9,677.42 is: 13,355.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,633.64 : 24,336 = 9,677.42 : x
  2. Step 2: Convert to fraction form
    17,633.64/24,336 = 9,677.42/x
  3. Step 3: Cross multiply
    17,633.64x = 24,336 × 9,677.42
  4. Step 4: Simplify right side
    17,633.64x = 235,509,571.44
  5. Step 5: Solve for x
    x = 235,509,571.44/17,633.64
  6. Step 6: Final answer
    x = 13,355.70

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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.