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Finding the Fourth Proportional to 13,702.68, 18,907.67 and 8,035.29

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Solution

The fourth proportional to 13,702.68, 18,907.67 and 8,035.29 is: 11,087.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,702.68 : 18,907.67 = 8,035.29 : x
  2. Step 2: Convert to fraction form
    13,702.68/18,907.67 = 8,035.29/x
  3. Step 3: Cross multiply
    13,702.68x = 18,907.67 × 8,035.29
  4. Step 4: Simplify right side
    13,702.68x = 151,928,476.96
  5. Step 5: Solve for x
    x = 151,928,476.96/13,702.68
  6. Step 6: Final answer
    x = 11,087.50

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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.