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Finding the Fourth Proportional to 22,973.44, 34,462.05 and 9,825.94

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Solution

The fourth proportional to 22,973.44, 34,462.05 and 9,825.94 is: 14,739.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,973.44 : 34,462.05 = 9,825.94 : x
  2. Step 2: Convert to fraction form
    22,973.44/34,462.05 = 9,825.94/x
  3. Step 3: Cross multiply
    22,973.44x = 34,462.05 × 9,825.94
  4. Step 4: Simplify right side
    22,973.44x = 338,622,035.58
  5. Step 5: Solve for x
    x = 338,622,035.58/22,973.44
  6. Step 6: Final answer
    x = 14,739.72

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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.