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Finding the Fourth Proportional to 13,400.95, 18,494.97 and 7,736.08

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Solution

The fourth proportional to 13,400.95, 18,494.97 and 7,736.08 is: 10,676.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,400.95 : 18,494.97 = 7,736.08 : x
  2. Step 2: Convert to fraction form
    13,400.95/18,494.97 = 7,736.08/x
  3. Step 3: Cross multiply
    13,400.95x = 18,494.97 × 7,736.08
  4. Step 4: Simplify right side
    13,400.95x = 143,078,475.04
  5. Step 5: Solve for x
    x = 143,078,475.04/13,400.95
  6. Step 6: Final answer
    x = 10,676.75

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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.