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Finding the Fourth Proportional to 6,523.94, 9,002.94 and 3,539.78

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Solution

The fourth proportional to 6,523.94, 9,002.94 and 3,539.78 is: 4,884.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.94 : 9,002.94 = 3,539.78 : x
  2. Step 2: Convert to fraction form
    6,523.94/9,002.94 = 3,539.78/x
  3. Step 3: Cross multiply
    6,523.94x = 9,002.94 × 3,539.78
  4. Step 4: Simplify right side
    6,523.94x = 31,868,426.95
  5. Step 5: Solve for x
    x = 31,868,426.95/6,523.94
  6. Step 6: Final answer
    x = 4,884.84

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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.