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Finding the Fourth Proportional to 13,735.68, 18,953.46 and 8,953.44

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Solution

The fourth proportional to 13,735.68, 18,953.46 and 8,953.44 is: 12,354.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,735.68 : 18,953.46 = 8,953.44 : x
  2. Step 2: Convert to fraction form
    13,735.68/18,953.46 = 8,953.44/x
  3. Step 3: Cross multiply
    13,735.68x = 18,953.46 × 8,953.44
  4. Step 4: Simplify right side
    13,735.68x = 169,698,666.90
  5. Step 5: Solve for x
    x = 169,698,666.90/13,735.68
  6. Step 6: Final answer
    x = 12,354.59

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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.