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Finding the Fourth Proportional to 7,796.04, 11,698.86 and 5,683.74

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Solution

The fourth proportional to 7,796.04, 11,698.86 and 5,683.74 is: 8,529.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,796.04 : 11,698.86 = 5,683.74 : x
  2. Step 2: Convert to fraction form
    7,796.04/11,698.86 = 5,683.74/x
  3. Step 3: Cross multiply
    7,796.04x = 11,698.86 × 5,683.74
  4. Step 4: Simplify right side
    7,796.04x = 66,493,278.54
  5. Step 5: Solve for x
    x = 66,493,278.54/7,796.04
  6. Step 6: Final answer
    x = 8,529.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.