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Finding the Fourth Proportional to 4,647.65, 6,971.76 and 1,874.34

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Solution

The fourth proportional to 4,647.65, 6,971.76 and 1,874.34 is: 2,811.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.65 : 6,971.76 = 1,874.34 : x
  2. Step 2: Convert to fraction form
    4,647.65/6,971.76 = 1,874.34/x
  3. Step 3: Cross multiply
    4,647.65x = 6,971.76 × 1,874.34
  4. Step 4: Simplify right side
    4,647.65x = 13,067,448.64
  5. Step 5: Solve for x
    x = 13,067,448.64/4,647.65
  6. Step 6: Final answer
    x = 2,811.63

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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.