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Finding the Fourth Proportional to 7,437.70, 11,224.02 and 7,189.84

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Solution

The fourth proportional to 7,437.70, 11,224.02 and 7,189.84 is: 10,849.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,437.70 : 11,224.02 = 7,189.84 : x
  2. Step 2: Convert to fraction form
    7,437.70/11,224.02 = 7,189.84/x
  3. Step 3: Cross multiply
    7,437.70x = 11,224.02 × 7,189.84
  4. Step 4: Simplify right side
    7,437.70x = 80,698,907.96
  5. Step 5: Solve for x
    x = 80,698,907.96/7,437.70
  6. Step 6: Final answer
    x = 10,849.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.