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Finding the Fourth Proportional to 10,551.44, 14,560.08 and 5,834.54

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Solution

The fourth proportional to 10,551.44, 14,560.08 and 5,834.54 is: 8,051.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,551.44 : 14,560.08 = 5,834.54 : x
  2. Step 2: Convert to fraction form
    10,551.44/14,560.08 = 5,834.54/x
  3. Step 3: Cross multiply
    10,551.44x = 14,560.08 × 5,834.54
  4. Step 4: Simplify right side
    10,551.44x = 84,951,369.16
  5. Step 5: Solve for x
    x = 84,951,369.16/10,551.44
  6. Step 6: Final answer
    x = 8,051.16

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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.