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Finding the Fourth Proportional to 13,062.54, 19,597.05 and 3,828.54

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Solution

The fourth proportional to 13,062.54, 19,597.05 and 3,828.54 is: 5,743.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,062.54 : 19,597.05 = 3,828.54 : x
  2. Step 2: Convert to fraction form
    13,062.54/19,597.05 = 3,828.54/x
  3. Step 3: Cross multiply
    13,062.54x = 19,597.05 × 3,828.54
  4. Step 4: Simplify right side
    13,062.54x = 75,028,089.81
  5. Step 5: Solve for x
    x = 75,028,089.81/13,062.54
  6. Step 6: Final answer
    x = 5,743.76

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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.