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Finding the Fourth Proportional to 12,305.62, 16,987.35 and 7,835.41

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Solution

The fourth proportional to 12,305.62, 16,987.35 and 7,835.41 is: 10,816.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,305.62 : 16,987.35 = 7,835.41 : x
  2. Step 2: Convert to fraction form
    12,305.62/16,987.35 = 7,835.41/x
  3. Step 3: Cross multiply
    12,305.62x = 16,987.35 × 7,835.41
  4. Step 4: Simplify right side
    12,305.62x = 133,102,852.06
  5. Step 5: Solve for x
    x = 133,102,852.06/12,305.62
  6. Step 6: Final answer
    x = 10,816.43

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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.