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Finding the Fourth Proportional to 7,691.88, 10,615.34 and 5,800.12

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Solution

The fourth proportional to 7,691.88, 10,615.34 and 5,800.12 is: 8,004.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691.88 : 10,615.34 = 5,800.12 : x
  2. Step 2: Convert to fraction form
    7,691.88/10,615.34 = 5,800.12/x
  3. Step 3: Cross multiply
    7,691.88x = 10,615.34 × 5,800.12
  4. Step 4: Simplify right side
    7,691.88x = 61,570,245.84
  5. Step 5: Solve for x
    x = 61,570,245.84/7,691.88
  6. Step 6: Final answer
    x = 8,004.58

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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.