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Finding the Fourth Proportional to 7,189.27, 9,921.98 and 4,206.11

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Solution

The fourth proportional to 7,189.27, 9,921.98 and 4,206.11 is: 5,804.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,189.27 : 9,921.98 = 4,206.11 : x
  2. Step 2: Convert to fraction form
    7,189.27/9,921.98 = 4,206.11/x
  3. Step 3: Cross multiply
    7,189.27x = 9,921.98 × 4,206.11
  4. Step 4: Simplify right side
    7,189.27x = 41,732,939.30
  5. Step 5: Solve for x
    x = 41,732,939.30/7,189.27
  6. Step 6: Final answer
    x = 5,804.89

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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.