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Finding the Fourth Proportional to 8,353, 11,524.27 and 4,765.38

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Solution

The fourth proportional to 8,353, 11,524.27 and 4,765.38 is: 6,574.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,353 : 11,524.27 = 4,765.38 : x
  2. Step 2: Convert to fraction form
    8,353/11,524.27 = 4,765.38/x
  3. Step 3: Cross multiply
    8,353x = 11,524.27 × 4,765.38
  4. Step 4: Simplify right side
    8,353x = 54,917,525.77
  5. Step 5: Solve for x
    x = 54,917,525.77/8,353
  6. Step 6: Final answer
    x = 6,574.59

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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.