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Finding the Fourth Proportional to 12,596.92, 17,384.16 and 6,932.08

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Solution

The fourth proportional to 12,596.92, 17,384.16 and 6,932.08 is: 9,566.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,596.92 : 17,384.16 = 6,932.08 : x
  2. Step 2: Convert to fraction form
    12,596.92/17,384.16 = 6,932.08/x
  3. Step 3: Cross multiply
    12,596.92x = 17,384.16 × 6,932.08
  4. Step 4: Simplify right side
    12,596.92x = 120,508,300.93
  5. Step 5: Solve for x
    x = 120,508,300.93/12,596.92
  6. Step 6: Final answer
    x = 9,566.49

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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.