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Finding the Fourth Proportional to 11,596.96, 17,468.35 and 11,443.87

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Solution

The fourth proportional to 11,596.96, 17,468.35 and 11,443.87 is: 17,237.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596.96 : 17,468.35 = 11,443.87 : x
  2. Step 2: Convert to fraction form
    11,596.96/17,468.35 = 11,443.87/x
  3. Step 3: Cross multiply
    11,596.96x = 17,468.35 × 11,443.87
  4. Step 4: Simplify right side
    11,596.96x = 199,905,526.51
  5. Step 5: Solve for x
    x = 199,905,526.51/11,596.96
  6. Step 6: Final answer
    x = 17,237.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.