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Finding the Fourth Proportional to 14,554.22, 20,084.82 and 7,930.22

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Solution

The fourth proportional to 14,554.22, 20,084.82 and 7,930.22 is: 10,943.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,554.22 : 20,084.82 = 7,930.22 : x
  2. Step 2: Convert to fraction form
    14,554.22/20,084.82 = 7,930.22/x
  3. Step 3: Cross multiply
    14,554.22x = 20,084.82 × 7,930.22
  4. Step 4: Simplify right side
    14,554.22x = 159,277,031.02
  5. Step 5: Solve for x
    x = 159,277,031.02/14,554.22
  6. Step 6: Final answer
    x = 10,943.70

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1.5x scale

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.