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Finding the Fourth Proportional to 11,782.76, 17,672.31 and 7,652.06

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Solution

The fourth proportional to 11,782.76, 17,672.31 and 7,652.06 is: 11,476.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.76 : 17,672.31 = 7,652.06 : x
  2. Step 2: Convert to fraction form
    11,782.76/17,672.31 = 7,652.06/x
  3. Step 3: Cross multiply
    11,782.76x = 17,672.31 × 7,652.06
  4. Step 4: Simplify right side
    11,782.76x = 135,229,488.10
  5. Step 5: Solve for x
    x = 135,229,488.10/11,782.76
  6. Step 6: Final answer
    x = 11,476.89

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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.