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Finding the Fourth Proportional to 9,392.64, 14,063.91 and 7,756.44

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Solution

The fourth proportional to 9,392.64, 14,063.91 and 7,756.44 is: 11,613.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,392.64 : 14,063.91 = 7,756.44 : x
  2. Step 2: Convert to fraction form
    9,392.64/14,063.91 = 7,756.44/x
  3. Step 3: Cross multiply
    9,392.64x = 14,063.91 × 7,756.44
  4. Step 4: Simplify right side
    9,392.64x = 109,085,874.08
  5. Step 5: Solve for x
    x = 109,085,874.08/9,392.64
  6. Step 6: Final answer
    x = 11,613.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.