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Finding the Fourth Proportional to 24,808.37, 37,218.69 and 7,278.21

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Solution

The fourth proportional to 24,808.37, 37,218.69 and 7,278.21 is: 10,919.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,808.37 : 37,218.69 = 7,278.21 : x
  2. Step 2: Convert to fraction form
    24,808.37/37,218.69 = 7,278.21/x
  3. Step 3: Cross multiply
    24,808.37x = 37,218.69 × 7,278.21
  4. Step 4: Simplify right side
    24,808.37x = 270,885,441.74
  5. Step 5: Solve for x
    x = 270,885,441.74/24,808.37
  6. Step 6: Final answer
    x = 10,919.12

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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.