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Finding the Fourth Proportional to 6,494.12, 9,721.06 and 3,525.22

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Solution

The fourth proportional to 6,494.12, 9,721.06 and 3,525.22 is: 5,276.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.12 : 9,721.06 = 3,525.22 : x
  2. Step 2: Convert to fraction form
    6,494.12/9,721.06 = 3,525.22/x
  3. Step 3: Cross multiply
    6,494.12x = 9,721.06 × 3,525.22
  4. Step 4: Simplify right side
    6,494.12x = 34,268,898.30
  5. Step 5: Solve for x
    x = 34,268,898.30/6,494.12
  6. Step 6: Final answer
    x = 5,276.91

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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.