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Finding the Fourth Proportional to 15,246.36, 22,862.25 and 6,476.49

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Solution

The fourth proportional to 15,246.36, 22,862.25 and 6,476.49 is: 9,711.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,246.36 : 22,862.25 = 6,476.49 : x
  2. Step 2: Convert to fraction form
    15,246.36/22,862.25 = 6,476.49/x
  3. Step 3: Cross multiply
    15,246.36x = 22,862.25 × 6,476.49
  4. Step 4: Simplify right side
    15,246.36x = 148,067,133.50
  5. Step 5: Solve for x
    x = 148,067,133.50/15,246.36
  6. Step 6: Final answer
    x = 9,711.64

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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.