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Finding the Fourth Proportional to 10,954.80, 16,432.20 and 6,274.80

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Solution

The fourth proportional to 10,954.80, 16,432.20 and 6,274.80 is: 9,412.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,954.80 : 16,432.20 = 6,274.80 : x
  2. Step 2: Convert to fraction form
    10,954.80/16,432.20 = 6,274.80/x
  3. Step 3: Cross multiply
    10,954.80x = 16,432.20 × 6,274.80
  4. Step 4: Simplify right side
    10,954.80x = 103,108,768.56
  5. Step 5: Solve for x
    x = 103,108,768.56/10,954.80
  6. Step 6: Final answer
    x = 9,412.20

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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.