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Finding the Fourth Proportional to 22,647.60, 33,971.22 and 9,320.49

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Solution

The fourth proportional to 22,647.60, 33,971.22 and 9,320.49 is: 13,980.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,647.60 : 33,971.22 = 9,320.49 : x
  2. Step 2: Convert to fraction form
    22,647.60/33,971.22 = 9,320.49/x
  3. Step 3: Cross multiply
    22,647.60x = 33,971.22 × 9,320.49
  4. Step 4: Simplify right side
    22,647.60x = 316,628,416.30
  5. Step 5: Solve for x
    x = 316,628,416.30/22,647.60
  6. Step 6: Final answer
    x = 13,980.66

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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.