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Finding the Fourth Proportional to 13,812.60, 20,702.82 and 7,893.64

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Solution

The fourth proportional to 13,812.60, 20,702.82 and 7,893.64 is: 11,831.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,812.60 : 20,702.82 = 7,893.64 : x
  2. Step 2: Convert to fraction form
    13,812.60/20,702.82 = 7,893.64/x
  3. Step 3: Cross multiply
    13,812.60x = 20,702.82 × 7,893.64
  4. Step 4: Simplify right side
    13,812.60x = 163,420,504.55
  5. Step 5: Solve for x
    x = 163,420,504.55/13,812.60
  6. Step 6: Final answer
    x = 11,831.26

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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.