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Finding the Fourth Proportional to 9,747.64, 13,455.39 and 7,589.92

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Solution

The fourth proportional to 9,747.64, 13,455.39 and 7,589.92 is: 10,476.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,747.64 : 13,455.39 = 7,589.92 : x
  2. Step 2: Convert to fraction form
    9,747.64/13,455.39 = 7,589.92/x
  3. Step 3: Cross multiply
    9,747.64x = 13,455.39 × 7,589.92
  4. Step 4: Simplify right side
    9,747.64x = 102,125,251.84
  5. Step 5: Solve for x
    x = 102,125,251.84/9,747.64
  6. Step 6: Final answer
    x = 10,476.92

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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.