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Finding the Fourth Proportional to 7,733, 10,671.60 and 4,196.22

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Solution

The fourth proportional to 7,733, 10,671.60 and 4,196.22 is: 5,790.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,733 : 10,671.60 = 4,196.22 : x
  2. Step 2: Convert to fraction form
    7,733/10,671.60 = 4,196.22/x
  3. Step 3: Cross multiply
    7,733x = 10,671.60 × 4,196.22
  4. Step 4: Simplify right side
    7,733x = 44,780,381.35
  5. Step 5: Solve for x
    x = 44,780,381.35/7,733
  6. Step 6: Final answer
    x = 5,790.82

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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.