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Finding the Fourth Proportional to 14,408, 19,883.12 and 8,120.48

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Solution

The fourth proportional to 14,408, 19,883.12 and 8,120.48 is: 11,206.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,408 : 19,883.12 = 8,120.48 : x
  2. Step 2: Convert to fraction form
    14,408/19,883.12 = 8,120.48/x
  3. Step 3: Cross multiply
    14,408x = 19,883.12 × 8,120.48
  4. Step 4: Simplify right side
    14,408x = 161,460,478.30
  5. Step 5: Solve for x
    x = 161,460,478.30/14,408
  6. Step 6: Final answer
    x = 11,206.31

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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.