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Finding the Fourth Proportional to 13,741.56, 18,963.09 and 7,773.12

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Solution

The fourth proportional to 13,741.56, 18,963.09 and 7,773.12 is: 10,726.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,741.56 : 18,963.09 = 7,773.12 : x
  2. Step 2: Convert to fraction form
    13,741.56/18,963.09 = 7,773.12/x
  3. Step 3: Cross multiply
    13,741.56x = 18,963.09 × 7,773.12
  4. Step 4: Simplify right side
    13,741.56x = 147,402,374.14
  5. Step 5: Solve for x
    x = 147,402,374.14/13,741.56
  6. Step 6: Final answer
    x = 10,726.76

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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.