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Finding the Fourth Proportional to 8,238.53, 11,369.10 and 4,461.64

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Solution

The fourth proportional to 8,238.53, 11,369.10 and 4,461.64 is: 6,157.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238.53 : 11,369.10 = 4,461.64 : x
  2. Step 2: Convert to fraction form
    8,238.53/11,369.10 = 4,461.64/x
  3. Step 3: Cross multiply
    8,238.53x = 11,369.10 × 4,461.64
  4. Step 4: Simplify right side
    8,238.53x = 50,724,839.06
  5. Step 5: Solve for x
    x = 50,724,839.06/8,238.53
  6. Step 6: Final answer
    x = 6,157.03

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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.