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Finding the Fourth Proportional to 17,758.44, 24,506.64 and 9,800.64

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Solution

The fourth proportional to 17,758.44, 24,506.64 and 9,800.64 is: 13,524.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,758.44 : 24,506.64 = 9,800.64 : x
  2. Step 2: Convert to fraction form
    17,758.44/24,506.64 = 9,800.64/x
  3. Step 3: Cross multiply
    17,758.44x = 24,506.64 × 9,800.64
  4. Step 4: Simplify right side
    17,758.44x = 240,180,756.25
  5. Step 5: Solve for x
    x = 240,180,756.25/17,758.44
  6. Step 6: Final answer
    x = 13,524.88

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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.