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Finding the Fourth Proportional to 13,827.88, 19,082.34 and 7,539.88

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Solution

The fourth proportional to 13,827.88, 19,082.34 and 7,539.88 is: 10,404.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,827.88 : 19,082.34 = 7,539.88 : x
  2. Step 2: Convert to fraction form
    13,827.88/19,082.34 = 7,539.88/x
  3. Step 3: Cross multiply
    13,827.88x = 19,082.34 × 7,539.88
  4. Step 4: Simplify right side
    13,827.88x = 143,878,553.72
  5. Step 5: Solve for x
    x = 143,878,553.72/13,827.88
  6. Step 6: Final answer
    x = 10,404.96

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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.