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Finding the Fourth Proportional to 13,992.56, 19,309.04 and 7,703.76

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Solution

The fourth proportional to 13,992.56, 19,309.04 and 7,703.76 is: 10,630.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,992.56 : 19,309.04 = 7,703.76 : x
  2. Step 2: Convert to fraction form
    13,992.56/19,309.04 = 7,703.76/x
  3. Step 3: Cross multiply
    13,992.56x = 19,309.04 × 7,703.76
  4. Step 4: Simplify right side
    13,992.56x = 148,752,209.99
  5. Step 5: Solve for x
    x = 148,752,209.99/13,992.56
  6. Step 6: Final answer
    x = 10,630.81

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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.