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Finding the Fourth Proportional to 7,720.46, 10,654.77 and 4,696.77

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Solution

The fourth proportional to 7,720.46, 10,654.77 and 4,696.77 is: 6,481.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,720.46 : 10,654.77 = 4,696.77 : x
  2. Step 2: Convert to fraction form
    7,720.46/10,654.77 = 4,696.77/x
  3. Step 3: Cross multiply
    7,720.46x = 10,654.77 × 4,696.77
  4. Step 4: Simplify right side
    7,720.46x = 50,043,004.09
  5. Step 5: Solve for x
    x = 50,043,004.09/7,720.46
  6. Step 6: Final answer
    x = 6,481.87

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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.