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Finding the Fourth Proportional to 12,737.23, 19,103.10 and 7,991.10

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Solution

The fourth proportional to 12,737.23, 19,103.10 and 7,991.10 is: 11,984.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,737.23 : 19,103.10 = 7,991.10 : x
  2. Step 2: Convert to fraction form
    12,737.23/19,103.10 = 7,991.10/x
  3. Step 3: Cross multiply
    12,737.23x = 19,103.10 × 7,991.10
  4. Step 4: Simplify right side
    12,737.23x = 152,654,782.41
  5. Step 5: Solve for x
    x = 152,654,782.41/12,737.23
  6. Step 6: Final answer
    x = 11,984.93

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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.