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Finding the Fourth Proportional to 6,349.73, 9,521.63 and 1,966.16

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Solution

The fourth proportional to 6,349.73, 9,521.63 and 1,966.16 is: 2,948.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349.73 : 9,521.63 = 1,966.16 : x
  2. Step 2: Convert to fraction form
    6,349.73/9,521.63 = 1,966.16/x
  3. Step 3: Cross multiply
    6,349.73x = 9,521.63 × 1,966.16
  4. Step 4: Simplify right side
    6,349.73x = 18,720,990.60
  5. Step 5: Solve for x
    x = 18,720,990.60/6,349.73
  6. Step 6: Final answer
    x = 2,948.32

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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.