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Finding the Fourth Proportional to 6,548.10, 9,803.31 and 6,086.77

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Solution

The fourth proportional to 6,548.10, 9,803.31 and 6,086.77 is: 9,112.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548.10 : 9,803.31 = 6,086.77 : x
  2. Step 2: Convert to fraction form
    6,548.10/9,803.31 = 6,086.77/x
  3. Step 3: Cross multiply
    6,548.10x = 9,803.31 × 6,086.77
  4. Step 4: Simplify right side
    6,548.10x = 59,670,493.21
  5. Step 5: Solve for x
    x = 59,670,493.21/6,548.10
  6. Step 6: Final answer
    x = 9,112.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.