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Finding the Fourth Proportional to 7,797.51, 11,678.64 and 5,467.86

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Solution

The fourth proportional to 7,797.51, 11,678.64 and 5,467.86 is: 8,189.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797.51 : 11,678.64 = 5,467.86 : x
  2. Step 2: Convert to fraction form
    7,797.51/11,678.64 = 5,467.86/x
  3. Step 3: Cross multiply
    7,797.51x = 11,678.64 × 5,467.86
  4. Step 4: Simplify right side
    7,797.51x = 63,857,168.51
  5. Step 5: Solve for x
    x = 63,857,168.51/7,797.51
  6. Step 6: Final answer
    x = 8,189.43

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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.