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Finding the Fourth Proportional to 7,734.66, 11,659.12 and 7,283.10

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Solution

The fourth proportional to 7,734.66, 11,659.12 and 7,283.10 is: 10,978.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,734.66 : 11,659.12 = 7,283.10 : x
  2. Step 2: Convert to fraction form
    7,734.66/11,659.12 = 7,283.10/x
  3. Step 3: Cross multiply
    7,734.66x = 11,659.12 × 7,283.10
  4. Step 4: Simplify right side
    7,734.66x = 84,914,536.87
  5. Step 5: Solve for x
    x = 84,914,536.87/7,734.66
  6. Step 6: Final answer
    x = 10,978.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.