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Finding the Fourth Proportional to 4,896.72, 7,344.44 and 1,776.40

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Solution

The fourth proportional to 4,896.72, 7,344.44 and 1,776.40 is: 2,664.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.72 : 7,344.44 = 1,776.40 : x
  2. Step 2: Convert to fraction form
    4,896.72/7,344.44 = 1,776.40/x
  3. Step 3: Cross multiply
    4,896.72x = 7,344.44 × 1,776.40
  4. Step 4: Simplify right side
    4,896.72x = 13,046,663.22
  5. Step 5: Solve for x
    x = 13,046,663.22/4,896.72
  6. Step 6: Final answer
    x = 2,664.37

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1.5x scale

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.