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Finding the Fourth Proportional to 37,662.77, 56,494.49 and 9,582.86

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Solution

The fourth proportional to 37,662.77, 56,494.49 and 9,582.86 is: 14,374.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,662.77 : 56,494.49 = 9,582.86 : x
  2. Step 2: Convert to fraction form
    37,662.77/56,494.49 = 9,582.86/x
  3. Step 3: Cross multiply
    37,662.77x = 56,494.49 × 9,582.86
  4. Step 4: Simplify right side
    37,662.77x = 541,378,788.44
  5. Step 5: Solve for x
    x = 541,378,788.44/37,662.77
  6. Step 6: Final answer
    x = 14,374.38

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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.