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Finding the Fourth Proportional to 14,297.99, 19,731.13 and 7,924.57

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Solution

The fourth proportional to 14,297.99, 19,731.13 and 7,924.57 is: 10,935.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,297.99 : 19,731.13 = 7,924.57 : x
  2. Step 2: Convert to fraction form
    14,297.99/19,731.13 = 7,924.57/x
  3. Step 3: Cross multiply
    14,297.99x = 19,731.13 × 7,924.57
  4. Step 4: Simplify right side
    14,297.99x = 156,360,651.72
  5. Step 5: Solve for x
    x = 156,360,651.72/14,297.99
  6. Step 6: Final answer
    x = 10,935.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.