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Finding the Fourth Proportional to 6,549.42, 9,817.74 and 3,621.58

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Solution

The fourth proportional to 6,549.42, 9,817.74 and 3,621.58 is: 5,428.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,549.42 : 9,817.74 = 3,621.58 : x
  2. Step 2: Convert to fraction form
    6,549.42/9,817.74 = 3,621.58/x
  3. Step 3: Cross multiply
    6,549.42x = 9,817.74 × 3,621.58
  4. Step 4: Simplify right side
    6,549.42x = 35,555,730.83
  5. Step 5: Solve for x
    x = 35,555,730.83/6,549.42
  6. Step 6: Final answer
    x = 5,428.84

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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.