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Finding the Fourth Proportional to 14,721, 22,081.50 and 6,513

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Solution

The fourth proportional to 14,721, 22,081.50 and 6,513 is: 9,769.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,721 : 22,081.50 = 6,513 : x
  2. Step 2: Convert to fraction form
    14,721/22,081.50 = 6,513/x
  3. Step 3: Cross multiply
    14,721x = 22,081.50 × 6,513
  4. Step 4: Simplify right side
    14,721x = 143,816,809.50
  5. Step 5: Solve for x
    x = 143,816,809.50/14,721
  6. Step 6: Final answer
    x = 9,769.50

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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.