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Finding the Fourth Proportional to 13,388.16, 18,476.24 and 7,419.44

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Solution

The fourth proportional to 13,388.16, 18,476.24 and 7,419.44 is: 10,239.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,388.16 : 18,476.24 = 7,419.44 : x
  2. Step 2: Convert to fraction form
    13,388.16/18,476.24 = 7,419.44/x
  3. Step 3: Cross multiply
    13,388.16x = 18,476.24 × 7,419.44
  4. Step 4: Simplify right side
    13,388.16x = 137,083,264.59
  5. Step 5: Solve for x
    x = 137,083,264.59/13,388.16
  6. Step 6: Final answer
    x = 10,239.14

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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.