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Finding the Fourth Proportional to 7,076.47, 9,765.12 and 4,092.10

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Solution

The fourth proportional to 7,076.47, 9,765.12 and 4,092.10 is: 5,646.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,076.47 : 9,765.12 = 4,092.10 : x
  2. Step 2: Convert to fraction form
    7,076.47/9,765.12 = 4,092.10/x
  3. Step 3: Cross multiply
    7,076.47x = 9,765.12 × 4,092.10
  4. Step 4: Simplify right side
    7,076.47x = 39,959,847.55
  5. Step 5: Solve for x
    x = 39,959,847.55/7,076.47
  6. Step 6: Final answer
    x = 5,646.86

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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.