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Finding the Fourth Proportional to 6,356.91, 9,538.21 and 2,461.62

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Solution

The fourth proportional to 6,356.91, 9,538.21 and 2,461.62 is: 3,693.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.91 : 9,538.21 = 2,461.62 : x
  2. Step 2: Convert to fraction form
    6,356.91/9,538.21 = 2,461.62/x
  3. Step 3: Cross multiply
    6,356.91x = 9,538.21 × 2,461.62
  4. Step 4: Simplify right side
    6,356.91x = 23,479,473.50
  5. Step 5: Solve for x
    x = 23,479,473.50/6,356.91
  6. Step 6: Final answer
    x = 3,693.53

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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.