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Finding the Fourth Proportional to 16,642.12, 24,960.78 and 4,953.64

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Solution

The fourth proportional to 16,642.12, 24,960.78 and 4,953.64 is: 7,429.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,642.12 : 24,960.78 = 4,953.64 : x
  2. Step 2: Convert to fraction form
    16,642.12/24,960.78 = 4,953.64/x
  3. Step 3: Cross multiply
    16,642.12x = 24,960.78 × 4,953.64
  4. Step 4: Simplify right side
    16,642.12x = 123,646,718.24
  5. Step 5: Solve for x
    x = 123,646,718.24/16,642.12
  6. Step 6: Final answer
    x = 7,429.75

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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.