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Finding the Fourth Proportional to 7,369.79, 10,169.42 and 4,182.84

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Solution

The fourth proportional to 7,369.79, 10,169.42 and 4,182.84 is: 5,771.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,369.79 : 10,169.42 = 4,182.84 : x
  2. Step 2: Convert to fraction form
    7,369.79/10,169.42 = 4,182.84/x
  3. Step 3: Cross multiply
    7,369.79x = 10,169.42 × 4,182.84
  4. Step 4: Simplify right side
    7,369.79x = 42,537,035.84
  5. Step 5: Solve for x
    x = 42,537,035.84/7,369.79
  6. Step 6: Final answer
    x = 5,771.82

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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.