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Finding the Fourth Proportional to 14,614.53, 20,167.95 and 8,646.09

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Solution

The fourth proportional to 14,614.53, 20,167.95 and 8,646.09 is: 11,931.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,614.53 : 20,167.95 = 8,646.09 : x
  2. Step 2: Convert to fraction form
    14,614.53/20,167.95 = 8,646.09/x
  3. Step 3: Cross multiply
    14,614.53x = 20,167.95 × 8,646.09
  4. Step 4: Simplify right side
    14,614.53x = 174,373,910.82
  5. Step 5: Solve for x
    x = 174,373,910.82/14,614.53
  6. Step 6: Final answer
    x = 11,931.54

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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.