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Finding the Fourth Proportional to 13,702.69, 18,909.68 and 7,415.07

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Solution

The fourth proportional to 13,702.69, 18,909.68 and 7,415.07 is: 10,232.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,702.69 : 18,909.68 = 7,415.07 : x
  2. Step 2: Convert to fraction form
    13,702.69/18,909.68 = 7,415.07/x
  3. Step 3: Cross multiply
    13,702.69x = 18,909.68 × 7,415.07
  4. Step 4: Simplify right side
    13,702.69x = 140,216,600.88
  5. Step 5: Solve for x
    x = 140,216,600.88/13,702.69
  6. Step 6: Final answer
    x = 10,232.78

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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.