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Finding the Fourth Proportional to 13,673.76, 18,869.81 and 7,386.14

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Solution

The fourth proportional to 13,673.76, 18,869.81 and 7,386.14 is: 10,192.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,673.76 : 18,869.81 = 7,386.14 : x
  2. Step 2: Convert to fraction form
    13,673.76/18,869.81 = 7,386.14/x
  3. Step 3: Cross multiply
    13,673.76x = 18,869.81 × 7,386.14
  4. Step 4: Simplify right side
    13,673.76x = 139,375,058.43
  5. Step 5: Solve for x
    x = 139,375,058.43/13,673.76
  6. Step 6: Final answer
    x = 10,192.88

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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.