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Finding the Fourth Proportional to 11,778.96, 16,255 and 6,474.32

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Solution

The fourth proportional to 11,778.96, 16,255 and 6,474.32 is: 8,934.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,778.96 : 16,255 = 6,474.32 : x
  2. Step 2: Convert to fraction form
    11,778.96/16,255 = 6,474.32/x
  3. Step 3: Cross multiply
    11,778.96x = 16,255 × 6,474.32
  4. Step 4: Simplify right side
    11,778.96x = 105,240,071.60
  5. Step 5: Solve for x
    x = 105,240,071.60/11,778.96
  6. Step 6: Final answer
    x = 8,934.58

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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.