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Finding the Fourth Proportional to 13,677.53, 18,874.98 and 7,389.90

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Solution

The fourth proportional to 13,677.53, 18,874.98 and 7,389.90 is: 10,198.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,677.53 : 18,874.98 = 7,389.90 : x
  2. Step 2: Convert to fraction form
    13,677.53/18,874.98 = 7,389.90/x
  3. Step 3: Cross multiply
    13,677.53x = 18,874.98 × 7,389.90
  4. Step 4: Simplify right side
    13,677.53x = 139,484,214.70
  5. Step 5: Solve for x
    x = 139,484,214.70/13,677.53
  6. Step 6: Final answer
    x = 10,198.06

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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.