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Finding the Fourth Proportional to 6,977.69, 10,463.80 and 2,816.92

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Solution

The fourth proportional to 6,977.69, 10,463.80 and 2,816.92 is: 4,224.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977.69 : 10,463.80 = 2,816.92 : x
  2. Step 2: Convert to fraction form
    6,977.69/10,463.80 = 2,816.92/x
  3. Step 3: Cross multiply
    6,977.69x = 10,463.80 × 2,816.92
  4. Step 4: Simplify right side
    6,977.69x = 29,475,687.50
  5. Step 5: Solve for x
    x = 29,475,687.50/6,977.69
  6. Step 6: Final answer
    x = 4,224.28

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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.