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Finding the Fourth Proportional to 9,863.64, 13,584.36 and 9,124.92

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Solution

The fourth proportional to 9,863.64, 13,584.36 and 9,124.92 is: 12,566.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,863.64 : 13,584.36 = 9,124.92 : x
  2. Step 2: Convert to fraction form
    9,863.64/13,584.36 = 9,124.92/x
  3. Step 3: Cross multiply
    9,863.64x = 13,584.36 × 9,124.92
  4. Step 4: Simplify right side
    9,863.64x = 123,956,198.25
  5. Step 5: Solve for x
    x = 123,956,198.25/9,863.64
  6. Step 6: Final answer
    x = 12,566.98

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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.