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Finding the Fourth Proportional to 14,076.92, 19,424.52 and 7,788.92

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Solution

The fourth proportional to 14,076.92, 19,424.52 and 7,788.92 is: 10,747.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,076.92 : 19,424.52 = 7,788.92 : x
  2. Step 2: Convert to fraction form
    14,076.92/19,424.52 = 7,788.92/x
  3. Step 3: Cross multiply
    14,076.92x = 19,424.52 × 7,788.92
  4. Step 4: Simplify right side
    14,076.92x = 151,296,032.32
  5. Step 5: Solve for x
    x = 151,296,032.32/14,076.92
  6. Step 6: Final answer
    x = 10,747.81

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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.