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Finding the Fourth Proportional to 24,784.32, 37,181.76 and 7,254.72

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Solution

The fourth proportional to 24,784.32, 37,181.76 and 7,254.72 is: 10,883.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,784.32 : 37,181.76 = 7,254.72 : x
  2. Step 2: Convert to fraction form
    24,784.32/37,181.76 = 7,254.72/x
  3. Step 3: Cross multiply
    24,784.32x = 37,181.76 × 7,254.72
  4. Step 4: Simplify right side
    24,784.32x = 269,743,257.91
  5. Step 5: Solve for x
    x = 269,743,257.91/24,784.32
  6. Step 6: Final answer
    x = 10,883.63

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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.