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Finding the Fourth Proportional to 13,424.51, 18,526.05 and 7,456.73

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Solution

The fourth proportional to 13,424.51, 18,526.05 and 7,456.73 is: 10,290.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,424.51 : 18,526.05 = 7,456.73 : x
  2. Step 2: Convert to fraction form
    13,424.51/18,526.05 = 7,456.73/x
  3. Step 3: Cross multiply
    13,424.51x = 18,526.05 × 7,456.73
  4. Step 4: Simplify right side
    13,424.51x = 138,143,660.19
  5. Step 5: Solve for x
    x = 138,143,660.19/13,424.51
  6. Step 6: Final answer
    x = 10,290.41

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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.