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Finding the Fourth Proportional to 4,647.28, 6,971.28 and 1,184.50

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Solution

The fourth proportional to 4,647.28, 6,971.28 and 1,184.50 is: 1,776.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.28 : 6,971.28 = 1,184.50 : x
  2. Step 2: Convert to fraction form
    4,647.28/6,971.28 = 1,184.50/x
  3. Step 3: Cross multiply
    4,647.28x = 6,971.28 × 1,184.50
  4. Step 4: Simplify right side
    4,647.28x = 8,257,481.16
  5. Step 5: Solve for x
    x = 8,257,481.16/4,647.28
  6. Step 6: Final answer
    x = 1,776.84

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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.