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Finding the Fourth Proportional to 13,683.74, 18,883.53 and 7,396.11

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Solution

The fourth proportional to 13,683.74, 18,883.53 and 7,396.11 is: 10,206.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,683.74 : 18,883.53 = 7,396.11 : x
  2. Step 2: Convert to fraction form
    13,683.74/18,883.53 = 7,396.11/x
  3. Step 3: Cross multiply
    13,683.74x = 18,883.53 × 7,396.11
  4. Step 4: Simplify right side
    13,683.74x = 139,664,665.07
  5. Step 5: Solve for x
    x = 139,664,665.07/13,683.74
  6. Step 6: Final answer
    x = 10,206.62

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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.