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Finding the Fourth Proportional to 13,689.90, 18,892.07 and 7,402.28

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Solution

The fourth proportional to 13,689.90, 18,892.07 and 7,402.28 is: 10,215.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,689.90 : 18,892.07 = 7,402.28 : x
  2. Step 2: Convert to fraction form
    13,689.90/18,892.07 = 7,402.28/x
  3. Step 3: Cross multiply
    13,689.90x = 18,892.07 × 7,402.28
  4. Step 4: Simplify right side
    13,689.90x = 139,844,400.69
  5. Step 5: Solve for x
    x = 139,844,400.69/13,689.90
  6. Step 6: Final answer
    x = 10,215.15

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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.