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Finding the Fourth Proportional to 17,600, 24,286.84 and 9,642.32

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Solution

The fourth proportional to 17,600, 24,286.84 and 9,642.32 is: 13,305.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,600 : 24,286.84 = 9,642.32 : x
  2. Step 2: Convert to fraction form
    17,600/24,286.84 = 9,642.32/x
  3. Step 3: Cross multiply
    17,600x = 24,286.84 × 9,642.32
  4. Step 4: Simplify right side
    17,600x = 234,181,483.07
  5. Step 5: Solve for x
    x = 234,181,483.07/17,600
  6. Step 6: Final answer
    x = 13,305.77

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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.