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Finding the Fourth Proportional to 16,394.83, 24,592.25 and 7,028.80

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Solution

The fourth proportional to 16,394.83, 24,592.25 and 7,028.80 is: 10,543.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,394.83 : 24,592.25 = 7,028.80 : x
  2. Step 2: Convert to fraction form
    16,394.83/24,592.25 = 7,028.80/x
  3. Step 3: Cross multiply
    16,394.83x = 24,592.25 × 7,028.80
  4. Step 4: Simplify right side
    16,394.83x = 172,853,962.89
  5. Step 5: Solve for x
    x = 172,853,962.89/16,394.83
  6. Step 6: Final answer
    x = 10,543.20

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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.