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Finding the Fourth Proportional to 7,838.88, 10,817.82 and 4,302.09

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Solution

The fourth proportional to 7,838.88, 10,817.82 and 4,302.09 is: 5,936.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.88 : 10,817.82 = 4,302.09 : x
  2. Step 2: Convert to fraction form
    7,838.88/10,817.82 = 4,302.09/x
  3. Step 3: Cross multiply
    7,838.88x = 10,817.82 × 4,302.09
  4. Step 4: Simplify right side
    7,838.88x = 46,539,235.24
  5. Step 5: Solve for x
    x = 46,539,235.24/7,838.88
  6. Step 6: Final answer
    x = 5,936.98

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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.