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Finding the Fourth Proportional to 6,130.94, 9,190.88 and 5,945.02

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Solution

The fourth proportional to 6,130.94, 9,190.88 and 5,945.02 is: 8,912.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,130.94 : 9,190.88 = 5,945.02 : x
  2. Step 2: Convert to fraction form
    6,130.94/9,190.88 = 5,945.02/x
  3. Step 3: Cross multiply
    6,130.94x = 9,190.88 × 5,945.02
  4. Step 4: Simplify right side
    6,130.94x = 54,639,965.42
  5. Step 5: Solve for x
    x = 54,639,965.42/6,130.94
  6. Step 6: Final answer
    x = 8,912.17

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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.