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Finding the Fourth Proportional to 7,471.88, 11,207.82 and 7,461.08

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Solution

The fourth proportional to 7,471.88, 11,207.82 and 7,461.08 is: 11,191.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.88 : 11,207.82 = 7,461.08 : x
  2. Step 2: Convert to fraction form
    7,471.88/11,207.82 = 7,461.08/x
  3. Step 3: Cross multiply
    7,471.88x = 11,207.82 × 7,461.08
  4. Step 4: Simplify right side
    7,471.88x = 83,622,441.65
  5. Step 5: Solve for x
    x = 83,622,441.65/7,471.88
  6. Step 6: Final answer
    x = 11,191.62

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.