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Finding the Fourth Proportional to 12,991.80, 19,487.70 and 5,971.80

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Solution

The fourth proportional to 12,991.80, 19,487.70 and 5,971.80 is: 8,957.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,991.80 : 19,487.70 = 5,971.80 : x
  2. Step 2: Convert to fraction form
    12,991.80/19,487.70 = 5,971.80/x
  3. Step 3: Cross multiply
    12,991.80x = 19,487.70 × 5,971.80
  4. Step 4: Simplify right side
    12,991.80x = 116,376,646.86
  5. Step 5: Solve for x
    x = 116,376,646.86/12,991.80
  6. Step 6: Final answer
    x = 8,957.70

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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.