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Finding the Fourth Proportional to 13,453.64, 18,564.20 and 7,484.54

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Solution

The fourth proportional to 13,453.64, 18,564.20 and 7,484.54 is: 10,327.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,453.64 : 18,564.20 = 7,484.54 : x
  2. Step 2: Convert to fraction form
    13,453.64/18,564.20 = 7,484.54/x
  3. Step 3: Cross multiply
    13,453.64x = 18,564.20 × 7,484.54
  4. Step 4: Simplify right side
    13,453.64x = 138,944,497.47
  5. Step 5: Solve for x
    x = 138,944,497.47/13,453.64
  6. Step 6: Final answer
    x = 10,327.65

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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.