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Finding the Fourth Proportional to 12,282.14, 16,948.41 and 6,904.28

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Solution

The fourth proportional to 12,282.14, 16,948.41 and 6,904.28 is: 9,527.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,282.14 : 16,948.41 = 6,904.28 : x
  2. Step 2: Convert to fraction form
    12,282.14/16,948.41 = 6,904.28/x
  3. Step 3: Cross multiply
    12,282.14x = 16,948.41 × 6,904.28
  4. Step 4: Simplify right side
    12,282.14x = 117,016,568.19
  5. Step 5: Solve for x
    x = 117,016,568.19/12,282.14
  6. Step 6: Final answer
    x = 9,527.38

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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.