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Finding the Fourth Proportional to 11,229.80, 16,852.80 and 6,294.20

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Solution

The fourth proportional to 11,229.80, 16,852.80 and 6,294.20 is: 9,445.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,229.80 : 16,852.80 = 6,294.20 : x
  2. Step 2: Convert to fraction form
    11,229.80/16,852.80 = 6,294.20/x
  3. Step 3: Cross multiply
    11,229.80x = 16,852.80 × 6,294.20
  4. Step 4: Simplify right side
    11,229.80x = 106,074,893.76
  5. Step 5: Solve for x
    x = 106,074,893.76/11,229.80
  6. Step 6: Final answer
    x = 9,445.84

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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.