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Finding the Fourth Proportional to 9,806.75, 13,535.28 and 5,827.09

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Solution

The fourth proportional to 9,806.75, 13,535.28 and 5,827.09 is: 8,042.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.75 : 13,535.28 = 5,827.09 : x
  2. Step 2: Convert to fraction form
    9,806.75/13,535.28 = 5,827.09/x
  3. Step 3: Cross multiply
    9,806.75x = 13,535.28 × 5,827.09
  4. Step 4: Simplify right side
    9,806.75x = 78,871,294.74
  5. Step 5: Solve for x
    x = 78,871,294.74/9,806.75
  6. Step 6: Final answer
    x = 8,042.55

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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.