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Finding the Fourth Proportional to 14,023.92, 19,352.64 and 7,736.28

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Solution

The fourth proportional to 14,023.92, 19,352.64 and 7,736.28 is: 10,675.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,023.92 : 19,352.64 = 7,736.28 : x
  2. Step 2: Convert to fraction form
    14,023.92/19,352.64 = 7,736.28/x
  3. Step 3: Cross multiply
    14,023.92x = 19,352.64 × 7,736.28
  4. Step 4: Simplify right side
    14,023.92x = 149,717,441.78
  5. Step 5: Solve for x
    x = 149,717,441.78/14,023.92
  6. Step 6: Final answer
    x = 10,675.86

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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.