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Finding the Fourth Proportional to 13,053.84, 19,580.76 and 3,819.84

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Solution

The fourth proportional to 13,053.84, 19,580.76 and 3,819.84 is: 5,729.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,053.84 : 19,580.76 = 3,819.84 : x
  2. Step 2: Convert to fraction form
    13,053.84/19,580.76 = 3,819.84/x
  3. Step 3: Cross multiply
    13,053.84x = 19,580.76 × 3,819.84
  4. Step 4: Simplify right side
    13,053.84x = 74,795,370.28
  5. Step 5: Solve for x
    x = 74,795,370.28/13,053.84
  6. Step 6: Final answer
    x = 5,729.76

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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.