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Finding the Fourth Proportional to 22,642.63, 33,953.01 and 9,491.47

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Solution

The fourth proportional to 22,642.63, 33,953.01 and 9,491.47 is: 14,232.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,642.63 : 33,953.01 = 9,491.47 : x
  2. Step 2: Convert to fraction form
    22,642.63/33,953.01 = 9,491.47/x
  3. Step 3: Cross multiply
    22,642.63x = 33,953.01 × 9,491.47
  4. Step 4: Simplify right side
    22,642.63x = 322,263,975.82
  5. Step 5: Solve for x
    x = 322,263,975.82/22,642.63
  6. Step 6: Final answer
    x = 14,232.62

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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.