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Finding the Fourth Proportional to 13,983.49, 20,969.08 and 7,408.16

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Solution

The fourth proportional to 13,983.49, 20,969.08 and 7,408.16 is: 11,108.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,983.49 : 20,969.08 = 7,408.16 : x
  2. Step 2: Convert to fraction form
    13,983.49/20,969.08 = 7,408.16/x
  3. Step 3: Cross multiply
    13,983.49x = 20,969.08 × 7,408.16
  4. Step 4: Simplify right side
    13,983.49x = 155,342,254.96
  5. Step 5: Solve for x
    x = 155,342,254.96/13,983.49
  6. Step 6: Final answer
    x = 11,108.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.