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Finding the Fourth Proportional to 24,198.40, 36,297.59 and 9,410.77

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Solution

The fourth proportional to 24,198.40, 36,297.59 and 9,410.77 is: 14,116.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,198.40 : 36,297.59 = 9,410.77 : x
  2. Step 2: Convert to fraction form
    24,198.40/36,297.59 = 9,410.77/x
  3. Step 3: Cross multiply
    24,198.40x = 36,297.59 × 9,410.77
  4. Step 4: Simplify right side
    24,198.40x = 341,588,271.04
  5. Step 5: Solve for x
    x = 341,588,271.04/24,198.40
  6. Step 6: Final answer
    x = 14,116.15

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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.