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Finding the Fourth Proportional to 9,645.76, 14,451.12 and 8,095.72

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Solution

The fourth proportional to 9,645.76, 14,451.12 and 8,095.72 is: 12,128.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645.76 : 14,451.12 = 8,095.72 : x
  2. Step 2: Convert to fraction form
    9,645.76/14,451.12 = 8,095.72/x
  3. Step 3: Cross multiply
    9,645.76x = 14,451.12 × 8,095.72
  4. Step 4: Simplify right side
    9,645.76x = 116,992,221.21
  5. Step 5: Solve for x
    x = 116,992,221.21/9,645.76
  6. Step 6: Final answer
    x = 12,128.88

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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.