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Finding the Fourth Proportional to 6,358.54, 9,537.81 and 1,976.00

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Solution

The fourth proportional to 6,358.54, 9,537.81 and 1,976.00 is: 2,963.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,358.54 : 9,537.81 = 1,976.00 : x
  2. Step 2: Convert to fraction form
    6,358.54/9,537.81 = 1,976.00/x
  3. Step 3: Cross multiply
    6,358.54x = 9,537.81 × 1,976.00
  4. Step 4: Simplify right side
    6,358.54x = 18,846,654.99
  5. Step 5: Solve for x
    x = 18,846,654.99/6,358.54
  6. Step 6: Final answer
    x = 2,963.99

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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.