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Finding the Fourth Proportional to 12,773.94, 17,628.18 and 7,184.94

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Solution

The fourth proportional to 12,773.94, 17,628.18 and 7,184.94 is: 9,915.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,773.94 : 17,628.18 = 7,184.94 : x
  2. Step 2: Convert to fraction form
    12,773.94/17,628.18 = 7,184.94/x
  3. Step 3: Cross multiply
    12,773.94x = 17,628.18 × 7,184.94
  4. Step 4: Simplify right side
    12,773.94x = 126,657,415.61
  5. Step 5: Solve for x
    x = 126,657,415.61/12,773.94
  6. Step 6: Final answer
    x = 9,915.30

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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.