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Finding the Fourth Proportional to 16,297.70, 24,454.89 and 7,758.81

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Solution

The fourth proportional to 16,297.70, 24,454.89 and 7,758.81 is: 11,642.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,297.70 : 24,454.89 = 7,758.81 : x
  2. Step 2: Convert to fraction form
    16,297.70/24,454.89 = 7,758.81/x
  3. Step 3: Cross multiply
    16,297.70x = 24,454.89 × 7,758.81
  4. Step 4: Simplify right side
    16,297.70x = 189,740,776.36
  5. Step 5: Solve for x
    x = 189,740,776.36/16,297.70
  6. Step 6: Final answer
    x = 11,642.18

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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.