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Finding the Fourth Proportional to 7,412.91, 11,072.02 and 6,709.04

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Solution

The fourth proportional to 7,412.91, 11,072.02 and 6,709.04 is: 10,020.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,412.91 : 11,072.02 = 6,709.04 : x
  2. Step 2: Convert to fraction form
    7,412.91/11,072.02 = 6,709.04/x
  3. Step 3: Cross multiply
    7,412.91x = 11,072.02 × 6,709.04
  4. Step 4: Simplify right side
    7,412.91x = 74,282,591.52
  5. Step 5: Solve for x
    x = 74,282,591.52/7,412.91
  6. Step 6: Final answer
    x = 10,020.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.