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Finding the Fourth Proportional to 14,051, 21,046.52 and 9,105.96

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Solution

The fourth proportional to 14,051, 21,046.52 and 9,105.96 is: 13,639.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,051 : 21,046.52 = 9,105.96 : x
  2. Step 2: Convert to fraction form
    14,051/21,046.52 = 9,105.96/x
  3. Step 3: Cross multiply
    14,051x = 21,046.52 × 9,105.96
  4. Step 4: Simplify right side
    14,051x = 191,648,769.26
  5. Step 5: Solve for x
    x = 191,648,769.26/14,051
  6. Step 6: Final answer
    x = 13,639.51

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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.