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Finding the Fourth Proportional to 4,647.69, 6,971.58 and 1,184.94

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Solution

The fourth proportional to 4,647.69, 6,971.58 and 1,184.94 is: 1,777.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.69 : 6,971.58 = 1,184.94 : x
  2. Step 2: Convert to fraction form
    4,647.69/6,971.58 = 1,184.94/x
  3. Step 3: Cross multiply
    4,647.69x = 6,971.58 × 1,184.94
  4. Step 4: Simplify right side
    4,647.69x = 8,260,904.01
  5. Step 5: Solve for x
    x = 8,260,904.01/4,647.69
  6. Step 6: Final answer
    x = 1,777.42

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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.