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Finding the Fourth Proportional to 12,596.72, 17,381.63 and 7,559.87

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Solution

The fourth proportional to 12,596.72, 17,381.63 and 7,559.87 is: 10,431.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,596.72 : 17,381.63 = 7,559.87 : x
  2. Step 2: Convert to fraction form
    12,596.72/17,381.63 = 7,559.87/x
  3. Step 3: Cross multiply
    12,596.72x = 17,381.63 × 7,559.87
  4. Step 4: Simplify right side
    12,596.72x = 131,402,795.18
  5. Step 5: Solve for x
    x = 131,402,795.18/12,596.72
  6. Step 6: Final answer
    x = 10,431.51

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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.