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Finding the Fourth Proportional to 6,525.39, 9,766.42 and 5,941.74

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Solution

The fourth proportional to 6,525.39, 9,766.42 and 5,941.74 is: 8,892.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,525.39 : 9,766.42 = 5,941.74 : x
  2. Step 2: Convert to fraction form
    6,525.39/9,766.42 = 5,941.74/x
  3. Step 3: Cross multiply
    6,525.39x = 9,766.42 × 5,941.74
  4. Step 4: Simplify right side
    6,525.39x = 58,029,479.54
  5. Step 5: Solve for x
    x = 58,029,479.54/6,525.39
  6. Step 6: Final answer
    x = 8,892.88

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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.