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Finding the Fourth Proportional to 6,493.12, 8,959.10 and 3,975.77

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Solution

The fourth proportional to 6,493.12, 8,959.10 and 3,975.77 is: 5,485.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.12 : 8,959.10 = 3,975.77 : x
  2. Step 2: Convert to fraction form
    6,493.12/8,959.10 = 3,975.77/x
  3. Step 3: Cross multiply
    6,493.12x = 8,959.10 × 3,975.77
  4. Step 4: Simplify right side
    6,493.12x = 35,619,323.53
  5. Step 5: Solve for x
    x = 35,619,323.53/6,493.12
  6. Step 6: Final answer
    x = 5,485.70

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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.