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Finding the Fourth Proportional to 22,482.58, 33,724.48 and 5,842.24

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Solution

The fourth proportional to 22,482.58, 33,724.48 and 5,842.24 is: 8,763.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,482.58 : 33,724.48 = 5,842.24 : x
  2. Step 2: Convert to fraction form
    22,482.58/33,724.48 = 5,842.24/x
  3. Step 3: Cross multiply
    22,482.58x = 33,724.48 × 5,842.24
  4. Step 4: Simplify right side
    22,482.58x = 197,026,506.04
  5. Step 5: Solve for x
    x = 197,026,506.04/22,482.58
  6. Step 6: Final answer
    x = 8,763.52

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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.