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Finding the Fourth Proportional to 12,961.76, 19,424.76 and 5,924.64

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Solution

The fourth proportional to 12,961.76, 19,424.76 and 5,924.64 is: 8,878.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,961.76 : 19,424.76 = 5,924.64 : x
  2. Step 2: Convert to fraction form
    12,961.76/19,424.76 = 5,924.64/x
  3. Step 3: Cross multiply
    12,961.76x = 19,424.76 × 5,924.64
  4. Step 4: Simplify right side
    12,961.76x = 115,084,710.09
  5. Step 5: Solve for x
    x = 115,084,710.09/12,961.76
  6. Step 6: Final answer
    x = 8,878.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.