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Finding the Fourth Proportional to 22,642.76, 33,953.21 and 9,491.60

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Solution

The fourth proportional to 22,642.76, 33,953.21 and 9,491.60 is: 14,232.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,642.76 : 33,953.21 = 9,491.60 : x
  2. Step 2: Convert to fraction form
    22,642.76/33,953.21 = 9,491.60/x
  3. Step 3: Cross multiply
    22,642.76x = 33,953.21 × 9,491.60
  4. Step 4: Simplify right side
    22,642.76x = 322,270,070.81
  5. Step 5: Solve for x
    x = 322,270,070.81/22,642.76
  6. Step 6: Final answer
    x = 14,232.81

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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.