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Finding the Fourth Proportional to 9,978.26, 14,974.07 and 6,283.04

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Solution

The fourth proportional to 9,978.26, 14,974.07 and 6,283.04 is: 9,428.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,978.26 : 14,974.07 = 6,283.04 : x
  2. Step 2: Convert to fraction form
    9,978.26/14,974.07 = 6,283.04/x
  3. Step 3: Cross multiply
    9,978.26x = 14,974.07 × 6,283.04
  4. Step 4: Simplify right side
    9,978.26x = 94,082,574.49
  5. Step 5: Solve for x
    x = 94,082,574.49/9,978.26
  6. Step 6: Final answer
    x = 9,428.76

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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.