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Finding the Fourth Proportional to 13,702.57, 20,534.78 and 7,693.34

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Solution

The fourth proportional to 13,702.57, 20,534.78 and 7,693.34 is: 11,529.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,702.57 : 20,534.78 = 7,693.34 : x
  2. Step 2: Convert to fraction form
    13,702.57/20,534.78 = 7,693.34/x
  3. Step 3: Cross multiply
    13,702.57x = 20,534.78 × 7,693.34
  4. Step 4: Simplify right side
    13,702.57x = 157,980,960.92
  5. Step 5: Solve for x
    x = 157,980,960.92/13,702.57
  6. Step 6: Final answer
    x = 11,529.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.