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Finding the Fourth Proportional to 24,784.88, 37,177.32 and 7,254.80

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Solution

The fourth proportional to 24,784.88, 37,177.32 and 7,254.80 is: 10,882.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,784.88 : 37,177.32 = 7,254.80 : x
  2. Step 2: Convert to fraction form
    24,784.88/37,177.32 = 7,254.80/x
  3. Step 3: Cross multiply
    24,784.88x = 37,177.32 × 7,254.80
  4. Step 4: Simplify right side
    24,784.88x = 269,714,021.14
  5. Step 5: Solve for x
    x = 269,714,021.14/24,784.88
  6. Step 6: Final answer
    x = 10,882.20

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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.