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Finding the Fourth Proportional to 12,777.57, 17,633.06 and 7,188.57

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Solution

The fourth proportional to 12,777.57, 17,633.06 and 7,188.57 is: 9,920.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,777.57 : 17,633.06 = 7,188.57 : x
  2. Step 2: Convert to fraction form
    12,777.57/17,633.06 = 7,188.57/x
  3. Step 3: Cross multiply
    12,777.57x = 17,633.06 × 7,188.57
  4. Step 4: Simplify right side
    12,777.57x = 126,756,450.18
  5. Step 5: Solve for x
    x = 126,756,450.18/12,777.57
  6. Step 6: Final answer
    x = 9,920.23

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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.