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Finding the Fourth Proportional to 6,182.93, 8,527.68 and 4,294.49

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Solution

The fourth proportional to 6,182.93, 8,527.68 and 4,294.49 is: 5,923.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.93 : 8,527.68 = 4,294.49 : x
  2. Step 2: Convert to fraction form
    6,182.93/8,527.68 = 4,294.49/x
  3. Step 3: Cross multiply
    6,182.93x = 8,527.68 × 4,294.49
  4. Step 4: Simplify right side
    6,182.93x = 36,621,993.84
  5. Step 5: Solve for x
    x = 36,621,993.84/6,182.93
  6. Step 6: Final answer
    x = 5,923.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.