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Finding the Fourth Proportional to 13,657.44, 18,847.08 and 7,689.12

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Solution

The fourth proportional to 13,657.44, 18,847.08 and 7,689.12 is: 10,610.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,657.44 : 18,847.08 = 7,689.12 : x
  2. Step 2: Convert to fraction form
    13,657.44/18,847.08 = 7,689.12/x
  3. Step 3: Cross multiply
    13,657.44x = 18,847.08 × 7,689.12
  4. Step 4: Simplify right side
    13,657.44x = 144,917,459.77
  5. Step 5: Solve for x
    x = 144,917,459.77/13,657.44
  6. Step 6: Final answer
    x = 10,610.88

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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.