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Finding the Fourth Proportional to 12,991.68, 19,487.52 and 5,967.04

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Solution

The fourth proportional to 12,991.68, 19,487.52 and 5,967.04 is: 8,950.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,991.68 : 19,487.52 = 5,967.04 : x
  2. Step 2: Convert to fraction form
    12,991.68/19,487.52 = 5,967.04/x
  3. Step 3: Cross multiply
    12,991.68x = 19,487.52 × 5,967.04
  4. Step 4: Simplify right side
    12,991.68x = 116,282,811.34
  5. Step 5: Solve for x
    x = 116,282,811.34/12,991.68
  6. Step 6: Final answer
    x = 8,950.56

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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.