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Finding the Fourth Proportional to 14,653.68, 21,977.72 and 7,149.72

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Solution

The fourth proportional to 14,653.68, 21,977.72 and 7,149.72 is: 10,723.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,653.68 : 21,977.72 = 7,149.72 : x
  2. Step 2: Convert to fraction form
    14,653.68/21,977.72 = 7,149.72/x
  3. Step 3: Cross multiply
    14,653.68x = 21,977.72 × 7,149.72
  4. Step 4: Simplify right side
    14,653.68x = 157,134,544.24
  5. Step 5: Solve for x
    x = 157,134,544.24/14,653.68
  6. Step 6: Final answer
    x = 10,723.21

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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.