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Finding the Fourth Proportional to 12,347.31, 18,453.01 and 9,022.48

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Solution

The fourth proportional to 12,347.31, 18,453.01 and 9,022.48 is: 13,484.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,347.31 : 18,453.01 = 9,022.48 : x
  2. Step 2: Convert to fraction form
    12,347.31/18,453.01 = 9,022.48/x
  3. Step 3: Cross multiply
    12,347.31x = 18,453.01 × 9,022.48
  4. Step 4: Simplify right side
    12,347.31x = 166,491,913.66
  5. Step 5: Solve for x
    x = 166,491,913.66/12,347.31
  6. Step 6: Final answer
    x = 13,484.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.