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Finding the Fourth Proportional to 16,627.86, 22,946.94 and 9,074.68

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Solution

The fourth proportional to 16,627.86, 22,946.94 and 9,074.68 is: 12,523.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,627.86 : 22,946.94 = 9,074.68 : x
  2. Step 2: Convert to fraction form
    16,627.86/22,946.94 = 9,074.68/x
  3. Step 3: Cross multiply
    16,627.86x = 22,946.94 × 9,074.68
  4. Step 4: Simplify right side
    16,627.86x = 208,236,106.37
  5. Step 5: Solve for x
    x = 208,236,106.37/16,627.86
  6. Step 6: Final answer
    x = 12,523.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.