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Finding the Fourth Proportional to 12,596.51, 17,382.26 and 6,931.17

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Solution

The fourth proportional to 12,596.51, 17,382.26 and 6,931.17 is: 9,564.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,596.51 : 17,382.26 = 6,931.17 : x
  2. Step 2: Convert to fraction form
    12,596.51/17,382.26 = 6,931.17/x
  3. Step 3: Cross multiply
    12,596.51x = 17,382.26 × 6,931.17
  4. Step 4: Simplify right side
    12,596.51x = 120,479,416.37
  5. Step 5: Solve for x
    x = 120,479,416.37/12,596.51
  6. Step 6: Final answer
    x = 9,564.51

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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.