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Finding the Fourth Proportional to 22,582.64, 33,879.60 and 9,428.24

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Solution

The fourth proportional to 22,582.64, 33,879.60 and 9,428.24 is: 14,144.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,582.64 : 33,879.60 = 9,428.24 : x
  2. Step 2: Convert to fraction form
    22,582.64/33,879.60 = 9,428.24/x
  3. Step 3: Cross multiply
    22,582.64x = 33,879.60 × 9,428.24
  4. Step 4: Simplify right side
    22,582.64x = 319,424,999.90
  5. Step 5: Solve for x
    x = 319,424,999.90/22,582.64
  6. Step 6: Final answer
    x = 14,144.71

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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.