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Finding the Fourth Proportional to 14,283, 21,425.85 and 3,894.75

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Solution

The fourth proportional to 14,283, 21,425.85 and 3,894.75 is: 5,842.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,283 : 21,425.85 = 3,894.75 : x
  2. Step 2: Convert to fraction form
    14,283/21,425.85 = 3,894.75/x
  3. Step 3: Cross multiply
    14,283x = 21,425.85 × 3,894.75
  4. Step 4: Simplify right side
    14,283x = 83,448,329.29
  5. Step 5: Solve for x
    x = 83,448,329.29/14,283
  6. Step 6: Final answer
    x = 5,842.49

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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.