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Finding the Fourth Proportional to 9,843.68, 13,584.04 and 5,651.84

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Solution

The fourth proportional to 9,843.68, 13,584.04 and 5,651.84 is: 7,799.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.68 : 13,584.04 = 5,651.84 : x
  2. Step 2: Convert to fraction form
    9,843.68/13,584.04 = 5,651.84/x
  3. Step 3: Cross multiply
    9,843.68x = 13,584.04 × 5,651.84
  4. Step 4: Simplify right side
    9,843.68x = 76,774,820.63
  5. Step 5: Solve for x
    x = 76,774,820.63/9,843.68
  6. Step 6: Final answer
    x = 7,799.40

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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.