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Finding the Fourth Proportional to 8,520.94, 11,768.74 and 5,683.39

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Solution

The fourth proportional to 8,520.94, 11,768.74 and 5,683.39 is: 7,849.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,520.94 : 11,768.74 = 5,683.39 : x
  2. Step 2: Convert to fraction form
    8,520.94/11,768.74 = 5,683.39/x
  3. Step 3: Cross multiply
    8,520.94x = 11,768.74 × 5,683.39
  4. Step 4: Simplify right side
    8,520.94x = 66,886,339.23
  5. Step 5: Solve for x
    x = 66,886,339.23/8,520.94
  6. Step 6: Final answer
    x = 7,849.64

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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.