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Finding the Fourth Proportional to 14,657.62, 21,986.22 and 3,564.28

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Solution

The fourth proportional to 14,657.62, 21,986.22 and 3,564.28 is: 5,346.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,657.62 : 21,986.22 = 3,564.28 : x
  2. Step 2: Convert to fraction form
    14,657.62/21,986.22 = 3,564.28/x
  3. Step 3: Cross multiply
    14,657.62x = 21,986.22 × 3,564.28
  4. Step 4: Simplify right side
    14,657.62x = 78,365,044.22
  5. Step 5: Solve for x
    x = 78,365,044.22/14,657.62
  6. Step 6: Final answer
    x = 5,346.37

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1.5x scale

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.