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Finding the Fourth Proportional to 8,249, 11,383.68 and 4,523

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Solution

The fourth proportional to 8,249, 11,383.68 and 4,523 is: 6,241.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,249 : 11,383.68 = 4,523 : x
  2. Step 2: Convert to fraction form
    8,249/11,383.68 = 4,523/x
  3. Step 3: Cross multiply
    8,249x = 11,383.68 × 4,523
  4. Step 4: Simplify right side
    8,249x = 51,488,384.64
  5. Step 5: Solve for x
    x = 51,488,384.64/8,249
  6. Step 6: Final answer
    x = 6,241.77

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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.