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Finding the Fourth Proportional to 22,323.98, 33,462.68 and 7,527.81

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Solution

The fourth proportional to 22,323.98, 33,462.68 and 7,527.81 is: 11,283.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,323.98 : 33,462.68 = 7,527.81 : x
  2. Step 2: Convert to fraction form
    22,323.98/33,462.68 = 7,527.81/x
  3. Step 3: Cross multiply
    22,323.98x = 33,462.68 × 7,527.81
  4. Step 4: Simplify right side
    22,323.98x = 251,900,659.49
  5. Step 5: Solve for x
    x = 251,900,659.49/22,323.98
  6. Step 6: Final answer
    x = 11,283.86

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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.