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Finding the Fourth Proportional to 6,746.64, 10,119.80 and 1,816.44

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Solution

The fourth proportional to 6,746.64, 10,119.80 and 1,816.44 is: 2,724.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,746.64 : 10,119.80 = 1,816.44 : x
  2. Step 2: Convert to fraction form
    6,746.64/10,119.80 = 1,816.44/x
  3. Step 3: Cross multiply
    6,746.64x = 10,119.80 × 1,816.44
  4. Step 4: Simplify right side
    6,746.64x = 18,382,009.51
  5. Step 5: Solve for x
    x = 18,382,009.51/6,746.64
  6. Step 6: Final answer
    x = 2,724.62

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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.