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Finding the Fourth Proportional to 13,730.76, 18,954.90 and 8,765.64

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Solution

The fourth proportional to 13,730.76, 18,954.90 and 8,765.64 is: 12,100.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,730.76 : 18,954.90 = 8,765.64 : x
  2. Step 2: Convert to fraction form
    13,730.76/18,954.90 = 8,765.64/x
  3. Step 3: Cross multiply
    13,730.76x = 18,954.90 × 8,765.64
  4. Step 4: Simplify right side
    13,730.76x = 166,151,829.64
  5. Step 5: Solve for x
    x = 166,151,829.64/13,730.76
  6. Step 6: Final answer
    x = 12,100.70

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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.