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Finding the Fourth Proportional to 9,600.65, 14,392.20 and 8,129.35

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Solution

The fourth proportional to 9,600.65, 14,392.20 and 8,129.35 is: 12,186.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.65 : 14,392.20 = 8,129.35 : x
  2. Step 2: Convert to fraction form
    9,600.65/14,392.20 = 8,129.35/x
  3. Step 3: Cross multiply
    9,600.65x = 14,392.20 × 8,129.35
  4. Step 4: Simplify right side
    9,600.65x = 116,999,159.11
  5. Step 5: Solve for x
    x = 116,999,159.11/9,600.65
  6. Step 6: Final answer
    x = 12,186.59

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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.