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Finding the Fourth Proportional to 10,817.57, 14,928.24 and 5,849.57

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Solution

The fourth proportional to 10,817.57, 14,928.24 and 5,849.57 is: 8,072.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,817.57 : 14,928.24 = 5,849.57 : x
  2. Step 2: Convert to fraction form
    10,817.57/14,928.24 = 5,849.57/x
  3. Step 3: Cross multiply
    10,817.57x = 14,928.24 × 5,849.57
  4. Step 4: Simplify right side
    10,817.57x = 87,323,680.97
  5. Step 5: Solve for x
    x = 87,323,680.97/10,817.57
  6. Step 6: Final answer
    x = 8,072.40

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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.