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Finding the Fourth Proportional to 6,283.13, 8,670.06 and 3,631.38

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Solution

The fourth proportional to 6,283.13, 8,670.06 and 3,631.38 is: 5,010.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283.13 : 8,670.06 = 3,631.38 : x
  2. Step 2: Convert to fraction form
    6,283.13/8,670.06 = 3,631.38/x
  3. Step 3: Cross multiply
    6,283.13x = 8,670.06 × 3,631.38
  4. Step 4: Simplify right side
    6,283.13x = 31,484,282.48
  5. Step 5: Solve for x
    x = 31,484,282.48/6,283.13
  6. Step 6: Final answer
    x = 5,010.93

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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.