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Finding the Fourth Proportional to 24,592.80, 36,878.40 and 9,796.80

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Solution

The fourth proportional to 24,592.80, 36,878.40 and 9,796.80 is: 14,690.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,592.80 : 36,878.40 = 9,796.80 : x
  2. Step 2: Convert to fraction form
    24,592.80/36,878.40 = 9,796.80/x
  3. Step 3: Cross multiply
    24,592.80x = 36,878.40 × 9,796.80
  4. Step 4: Simplify right side
    24,592.80x = 361,290,309.12
  5. Step 5: Solve for x
    x = 361,290,309.12/24,592.80
  6. Step 6: Final answer
    x = 14,690.90

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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.