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Finding the Fourth Proportional to 12,037.86, 16,612.47 and 6,733.26

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Solution

The fourth proportional to 12,037.86, 16,612.47 and 6,733.26 is: 9,292.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,037.86 : 16,612.47 = 6,733.26 : x
  2. Step 2: Convert to fraction form
    12,037.86/16,612.47 = 6,733.26/x
  3. Step 3: Cross multiply
    12,037.86x = 16,612.47 × 6,733.26
  4. Step 4: Simplify right side
    12,037.86x = 111,856,079.75
  5. Step 5: Solve for x
    x = 111,856,079.75/12,037.86
  6. Step 6: Final answer
    x = 9,292.02

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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.