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Finding the Fourth Proportional to 22,633.12, 33,962.88 and 9,484.48

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Solution

The fourth proportional to 22,633.12, 33,962.88 and 9,484.48 is: 14,232.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,633.12 : 33,962.88 = 9,484.48 : x
  2. Step 2: Convert to fraction form
    22,633.12/33,962.88 = 9,484.48/x
  3. Step 3: Cross multiply
    22,633.12x = 33,962.88 × 9,484.48
  4. Step 4: Simplify right side
    22,633.12x = 322,120,256.10
  5. Step 5: Solve for x
    x = 322,120,256.10/22,633.12
  6. Step 6: Final answer
    x = 14,232.25

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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.