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Finding the Fourth Proportional to 6,359.92, 9,539.76 and 1,977.28

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Solution

The fourth proportional to 6,359.92, 9,539.76 and 1,977.28 is: 2,965.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,359.92 : 9,539.76 = 1,977.28 : x
  2. Step 2: Convert to fraction form
    6,359.92/9,539.76 = 1,977.28/x
  3. Step 3: Cross multiply
    6,359.92x = 9,539.76 × 1,977.28
  4. Step 4: Simplify right side
    6,359.92x = 18,862,776.65
  5. Step 5: Solve for x
    x = 18,862,776.65/6,359.92
  6. Step 6: Final answer
    x = 2,965.88

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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.