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Finding the Fourth Proportional to 37,384.88, 56,077.52 and 9,682.88

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Solution

The fourth proportional to 37,384.88, 56,077.52 and 9,682.88 is: 14,524.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,384.88 : 56,077.52 = 9,682.88 : x
  2. Step 2: Convert to fraction form
    37,384.88/56,077.52 = 9,682.88/x
  3. Step 3: Cross multiply
    37,384.88x = 56,077.52 × 9,682.88
  4. Step 4: Simplify right side
    37,384.88x = 542,991,896.86
  5. Step 5: Solve for x
    x = 542,991,896.86/37,384.88
  6. Step 6: Final answer
    x = 14,524.37

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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.