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Finding the Fourth Proportional to 9,806.44, 13,534.68 and 5,829.80

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Solution

The fourth proportional to 9,806.44, 13,534.68 and 5,829.80 is: 8,046.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.44 : 13,534.68 = 5,829.80 : x
  2. Step 2: Convert to fraction form
    9,806.44/13,534.68 = 5,829.80/x
  3. Step 3: Cross multiply
    9,806.44x = 13,534.68 × 5,829.80
  4. Step 4: Simplify right side
    9,806.44x = 78,904,477.46
  5. Step 5: Solve for x
    x = 78,904,477.46/9,806.44
  6. Step 6: Final answer
    x = 8,046.19

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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.