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Finding the Fourth Proportional to 14,654.22, 21,972.07 and 8,084.98

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Solution

The fourth proportional to 14,654.22, 21,972.07 and 8,084.98 is: 12,122.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,654.22 : 21,972.07 = 8,084.98 : x
  2. Step 2: Convert to fraction form
    14,654.22/21,972.07 = 8,084.98/x
  3. Step 3: Cross multiply
    14,654.22x = 21,972.07 × 8,084.98
  4. Step 4: Simplify right side
    14,654.22x = 177,643,746.51
  5. Step 5: Solve for x
    x = 177,643,746.51/14,654.22
  6. Step 6: Final answer
    x = 12,122.36

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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.