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Finding the Fourth Proportional to 22,557.60, 33,828.12 and 7,762.32

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Solution

The fourth proportional to 22,557.60, 33,828.12 and 7,762.32 is: 11,640.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,557.60 : 33,828.12 = 7,762.32 : x
  2. Step 2: Convert to fraction form
    22,557.60/33,828.12 = 7,762.32/x
  3. Step 3: Cross multiply
    22,557.60x = 33,828.12 × 7,762.32
  4. Step 4: Simplify right side
    22,557.60x = 262,584,692.44
  5. Step 5: Solve for x
    x = 262,584,692.44/22,557.60
  6. Step 6: Final answer
    x = 11,640.63

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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.