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Finding the Fourth Proportional to 22,585.96, 33,883.44 and 7,003

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Solution

The fourth proportional to 22,585.96, 33,883.44 and 7,003 is: 10,505.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,585.96 : 33,883.44 = 7,003 : x
  2. Step 2: Convert to fraction form
    22,585.96/33,883.44 = 7,003/x
  3. Step 3: Cross multiply
    22,585.96x = 33,883.44 × 7,003
  4. Step 4: Simplify right side
    22,585.96x = 237,285,730.32
  5. Step 5: Solve for x
    x = 237,285,730.32/22,585.96
  6. Step 6: Final answer
    x = 10,505.90

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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.