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Finding the Fourth Proportional to 14,023.62, 19,352.79 and 7,736.13

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Solution

The fourth proportional to 14,023.62, 19,352.79 and 7,736.13 is: 10,675.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,023.62 : 19,352.79 = 7,736.13 : x
  2. Step 2: Convert to fraction form
    14,023.62/19,352.79 = 7,736.13/x
  3. Step 3: Cross multiply
    14,023.62x = 19,352.79 × 7,736.13
  4. Step 4: Simplify right side
    14,023.62x = 149,715,699.30
  5. Step 5: Solve for x
    x = 149,715,699.30/14,023.62
  6. Step 6: Final answer
    x = 10,675.97

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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.