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Finding the Fourth Proportional to 9,804.68, 13,536.58 and 6,743.82

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Solution

The fourth proportional to 9,804.68, 13,536.58 and 6,743.82 is: 9,310.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.68 : 13,536.58 = 6,743.82 : x
  2. Step 2: Convert to fraction form
    9,804.68/13,536.58 = 6,743.82/x
  3. Step 3: Cross multiply
    9,804.68x = 13,536.58 × 6,743.82
  4. Step 4: Simplify right side
    9,804.68x = 91,288,258.94
  5. Step 5: Solve for x
    x = 91,288,258.94/9,804.68
  6. Step 6: Final answer
    x = 9,310.68

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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.