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Finding the Fourth Proportional to 13,702.92, 18,910.03 and 7,415.30

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Solution

The fourth proportional to 13,702.92, 18,910.03 and 7,415.30 is: 10,233.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,702.92 : 18,910.03 = 7,415.30 : x
  2. Step 2: Convert to fraction form
    13,702.92/18,910.03 = 7,415.30/x
  3. Step 3: Cross multiply
    13,702.92x = 18,910.03 × 7,415.30
  4. Step 4: Simplify right side
    13,702.92x = 140,223,502.59
  5. Step 5: Solve for x
    x = 140,223,502.59/13,702.92
  6. Step 6: Final answer
    x = 10,233.11

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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.