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Finding the Fourth Proportional to 9,841.44, 13,594.48 and 7,865.84

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Solution

The fourth proportional to 9,841.44, 13,594.48 and 7,865.84 is: 10,865.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,841.44 : 13,594.48 = 7,865.84 : x
  2. Step 2: Convert to fraction form
    9,841.44/13,594.48 = 7,865.84/x
  3. Step 3: Cross multiply
    9,841.44x = 13,594.48 × 7,865.84
  4. Step 4: Simplify right side
    9,841.44x = 106,932,004.56
  5. Step 5: Solve for x
    x = 106,932,004.56/9,841.44
  6. Step 6: Final answer
    x = 10,865.48

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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.