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Finding the Fourth Proportional to 22,408.51, 33,618.30 and 9,264.64

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Solution

The fourth proportional to 22,408.51, 33,618.30 and 9,264.64 is: 13,899.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,408.51 : 33,618.30 = 9,264.64 : x
  2. Step 2: Convert to fraction form
    22,408.51/33,618.30 = 9,264.64/x
  3. Step 3: Cross multiply
    22,408.51x = 33,618.30 × 9,264.64
  4. Step 4: Simplify right side
    22,408.51x = 311,461,446.91
  5. Step 5: Solve for x
    x = 311,461,446.91/22,408.51
  6. Step 6: Final answer
    x = 13,899.25

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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.