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Finding the Fourth Proportional to 24,723.24, 37,081.08 and 7,189.44

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Solution

The fourth proportional to 24,723.24, 37,081.08 and 7,189.44 is: 10,783.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,723.24 : 37,081.08 = 7,189.44 : x
  2. Step 2: Convert to fraction form
    24,723.24/37,081.08 = 7,189.44/x
  3. Step 3: Cross multiply
    24,723.24x = 37,081.08 × 7,189.44
  4. Step 4: Simplify right side
    24,723.24x = 266,592,199.80
  5. Step 5: Solve for x
    x = 266,592,199.80/24,723.24
  6. Step 6: Final answer
    x = 10,783.06

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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.