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Finding the Fourth Proportional to 22,640.36, 33,973.76 and 9,491.64

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Solution

The fourth proportional to 22,640.36, 33,973.76 and 9,491.64 is: 14,243.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,640.36 : 33,973.76 = 9,491.64 : x
  2. Step 2: Convert to fraction form
    22,640.36/33,973.76 = 9,491.64/x
  3. Step 3: Cross multiply
    22,640.36x = 33,973.76 × 9,491.64
  4. Step 4: Simplify right side
    22,640.36x = 322,466,699.37
  5. Step 5: Solve for x
    x = 322,466,699.37/22,640.36
  6. Step 6: Final answer
    x = 14,243.00

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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.