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Finding the Fourth Proportional to 13,054.92, 19,582.92 and 3,820.92

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Solution

The fourth proportional to 13,054.92, 19,582.92 and 3,820.92 is: 5,731.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,054.92 : 19,582.92 = 3,820.92 : x
  2. Step 2: Convert to fraction form
    13,054.92/19,582.92 = 3,820.92/x
  3. Step 3: Cross multiply
    13,054.92x = 19,582.92 × 3,820.92
  4. Step 4: Simplify right side
    13,054.92x = 74,824,770.69
  5. Step 5: Solve for x
    x = 74,824,770.69/13,054.92
  6. Step 6: Final answer
    x = 5,731.54

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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.