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Finding the Fourth Proportional to 8,468.51, 11,674.35 and 5,942.79

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Solution

The fourth proportional to 8,468.51, 11,674.35 and 5,942.79 is: 8,192.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,468.51 : 11,674.35 = 5,942.79 : x
  2. Step 2: Convert to fraction form
    8,468.51/11,674.35 = 5,942.79/x
  3. Step 3: Cross multiply
    8,468.51x = 11,674.35 × 5,942.79
  4. Step 4: Simplify right side
    8,468.51x = 69,378,210.44
  5. Step 5: Solve for x
    x = 69,378,210.44/8,468.51
  6. Step 6: Final answer
    x = 8,192.50

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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.