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Finding the Fourth Proportional to 12,800.40, 17,663.97 and 7,135.77

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Solution

The fourth proportional to 12,800.40, 17,663.97 and 7,135.77 is: 9,847.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,800.40 : 17,663.97 = 7,135.77 : x
  2. Step 2: Convert to fraction form
    12,800.40/17,663.97 = 7,135.77/x
  3. Step 3: Cross multiply
    12,800.40x = 17,663.97 × 7,135.77
  4. Step 4: Simplify right side
    12,800.40x = 126,046,070.53
  5. Step 5: Solve for x
    x = 126,046,070.53/12,800.40
  6. Step 6: Final answer
    x = 9,847.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.