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Finding the Fourth Proportional to 14,683.84, 20,264.10 and 8,309.14

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Solution

The fourth proportional to 14,683.84, 20,264.10 and 8,309.14 is: 11,466.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,683.84 : 20,264.10 = 8,309.14 : x
  2. Step 2: Convert to fraction form
    14,683.84/20,264.10 = 8,309.14/x
  3. Step 3: Cross multiply
    14,683.84x = 20,264.10 × 8,309.14
  4. Step 4: Simplify right side
    14,683.84x = 168,377,243.87
  5. Step 5: Solve for x
    x = 168,377,243.87/14,683.84
  6. Step 6: Final answer
    x = 11,466.84

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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.