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Finding the Fourth Proportional to 12,997.62, 19,504.62 and 7,461.77

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Solution

The fourth proportional to 12,997.62, 19,504.62 and 7,461.77 is: 11,197.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,997.62 : 19,504.62 = 7,461.77 : x
  2. Step 2: Convert to fraction form
    12,997.62/19,504.62 = 7,461.77/x
  3. Step 3: Cross multiply
    12,997.62x = 19,504.62 × 7,461.77
  4. Step 4: Simplify right side
    12,997.62x = 145,538,890.85
  5. Step 5: Solve for x
    x = 145,538,890.85/12,997.62
  6. Step 6: Final answer
    x = 11,197.35

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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.