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Finding the Fourth Proportional to 22,533.74, 33,776.75 and 7,537.07

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Solution

The fourth proportional to 22,533.74, 33,776.75 and 7,537.07 is: 11,297.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,533.74 : 33,776.75 = 7,537.07 : x
  2. Step 2: Convert to fraction form
    22,533.74/33,776.75 = 7,537.07/x
  3. Step 3: Cross multiply
    22,533.74x = 33,776.75 × 7,537.07
  4. Step 4: Simplify right side
    22,533.74x = 254,577,832.41
  5. Step 5: Solve for x
    x = 254,577,832.41/22,533.74
  6. Step 6: Final answer
    x = 11,297.63

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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.