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Finding the Fourth Proportional to 12,777.84, 17,633.24 and 7,188.84

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Solution

The fourth proportional to 12,777.84, 17,633.24 and 7,188.84 is: 9,920.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,777.84 : 17,633.24 = 7,188.84 : x
  2. Step 2: Convert to fraction form
    12,777.84/17,633.24 = 7,188.84/x
  3. Step 3: Cross multiply
    12,777.84x = 17,633.24 × 7,188.84
  4. Step 4: Simplify right side
    12,777.84x = 126,762,505.10
  5. Step 5: Solve for x
    x = 126,762,505.10/12,777.84
  6. Step 6: Final answer
    x = 9,920.50

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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.