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Finding the Fourth Proportional to 6,614.94, 9,923.34 and 1,935.30

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Solution

The fourth proportional to 6,614.94, 9,923.34 and 1,935.30 is: 2,903.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,614.94 : 9,923.34 = 1,935.30 : x
  2. Step 2: Convert to fraction form
    6,614.94/9,923.34 = 1,935.30/x
  3. Step 3: Cross multiply
    6,614.94x = 9,923.34 × 1,935.30
  4. Step 4: Simplify right side
    6,614.94x = 19,204,639.90
  5. Step 5: Solve for x
    x = 19,204,639.90/6,614.94
  6. Step 6: Final answer
    x = 2,903.22

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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.