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Finding the Fourth Proportional to 11,840.11, 16,347.11 and 9,022.03

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Solution

The fourth proportional to 11,840.11, 16,347.11 and 9,022.03 is: 12,456.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,840.11 : 16,347.11 = 9,022.03 : x
  2. Step 2: Convert to fraction form
    11,840.11/16,347.11 = 9,022.03/x
  3. Step 3: Cross multiply
    11,840.11x = 16,347.11 × 9,022.03
  4. Step 4: Simplify right side
    11,840.11x = 147,484,030.86
  5. Step 5: Solve for x
    x = 147,484,030.86/11,840.11
  6. Step 6: Final answer
    x = 12,456.31

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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.