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Finding the Fourth Proportional to 10,414, 14,371.50 and 5,698.36

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Solution

The fourth proportional to 10,414, 14,371.50 and 5,698.36 is: 7,863.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,414 : 14,371.50 = 5,698.36 : x
  2. Step 2: Convert to fraction form
    10,414/14,371.50 = 5,698.36/x
  3. Step 3: Cross multiply
    10,414x = 14,371.50 × 5,698.36
  4. Step 4: Simplify right side
    10,414x = 81,893,980.74
  5. Step 5: Solve for x
    x = 81,893,980.74/10,414
  6. Step 6: Final answer
    x = 7,863.84

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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.