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Finding the Fourth Proportional to 6,705, 10,055.64 and 2,025

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Solution

The fourth proportional to 6,705, 10,055.64 and 2,025 is: 3,036.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705 : 10,055.64 = 2,025 : x
  2. Step 2: Convert to fraction form
    6,705/10,055.64 = 2,025/x
  3. Step 3: Cross multiply
    6,705x = 10,055.64 × 2,025
  4. Step 4: Simplify right side
    6,705x = 20,362,671
  5. Step 5: Solve for x
    x = 20,362,671/6,705
  6. Step 6: Final answer
    x = 3,036.94

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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.