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Finding the Fourth Proportional to 22,457.31, 33,689.06 and 7,662.26

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Solution

The fourth proportional to 22,457.31, 33,689.06 and 7,662.26 is: 11,494.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,457.31 : 33,689.06 = 7,662.26 : x
  2. Step 2: Convert to fraction form
    22,457.31/33,689.06 = 7,662.26/x
  3. Step 3: Cross multiply
    22,457.31x = 33,689.06 × 7,662.26
  4. Step 4: Simplify right side
    22,457.31x = 258,134,130.12
  5. Step 5: Solve for x
    x = 258,134,130.12/22,457.31
  6. Step 6: Final answer
    x = 11,494.44

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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.