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Finding the Fourth Proportional to 14,690.96, 22,029.12 and 4,829.12

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Solution

The fourth proportional to 14,690.96, 22,029.12 and 4,829.12 is: 7,241.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,690.96 : 22,029.12 = 4,829.12 : x
  2. Step 2: Convert to fraction form
    14,690.96/22,029.12 = 4,829.12/x
  3. Step 3: Cross multiply
    14,690.96x = 22,029.12 × 4,829.12
  4. Step 4: Simplify right side
    14,690.96x = 106,381,263.97
  5. Step 5: Solve for x
    x = 106,381,263.97/14,690.96
  6. Step 6: Final answer
    x = 7,241.27

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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.