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Finding the Fourth Proportional to 14,614.40, 20,166 and 8,328.80

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Solution

The fourth proportional to 14,614.40, 20,166 and 8,328.80 is: 11,492.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,614.40 : 20,166 = 8,328.80 : x
  2. Step 2: Convert to fraction form
    14,614.40/20,166 = 8,328.80/x
  3. Step 3: Cross multiply
    14,614.40x = 20,166 × 8,328.80
  4. Step 4: Simplify right side
    14,614.40x = 167,958,580.80
  5. Step 5: Solve for x
    x = 167,958,580.80/14,614.40
  6. Step 6: Final answer
    x = 11,492.68

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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.