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Finding the Fourth Proportional to 8,342.53, 11,512.60 and 4,565.66

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Solution

The fourth proportional to 8,342.53, 11,512.60 and 4,565.66 is: 6,300.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.53 : 11,512.60 = 4,565.66 : x
  2. Step 2: Convert to fraction form
    8,342.53/11,512.60 = 4,565.66/x
  3. Step 3: Cross multiply
    8,342.53x = 11,512.60 × 4,565.66
  4. Step 4: Simplify right side
    8,342.53x = 52,562,645.48
  5. Step 5: Solve for x
    x = 52,562,645.48/8,342.53
  6. Step 6: Final answer
    x = 6,300.56

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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.