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Finding the Fourth Proportional to 8,342.56, 11,512.73 and 4,565.73

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Solution

The fourth proportional to 8,342.56, 11,512.73 and 4,565.73 is: 6,300.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.56 : 11,512.73 = 4,565.73 : x
  2. Step 2: Convert to fraction form
    8,342.56/11,512.73 = 4,565.73/x
  3. Step 3: Cross multiply
    8,342.56x = 11,512.73 × 4,565.73
  4. Step 4: Simplify right side
    8,342.56x = 52,564,071.33
  5. Step 5: Solve for x
    x = 52,564,071.33/8,342.56
  6. Step 6: Final answer
    x = 6,300.71

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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.