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Finding the Fourth Proportional to 13,735.44, 20,595.86 and 9,354.15

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Solution

The fourth proportional to 13,735.44, 20,595.86 and 9,354.15 is: 14,026.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,735.44 : 20,595.86 = 9,354.15 : x
  2. Step 2: Convert to fraction form
    13,735.44/20,595.86 = 9,354.15/x
  3. Step 3: Cross multiply
    13,735.44x = 20,595.86 × 9,354.15
  4. Step 4: Simplify right side
    13,735.44x = 192,656,614.07
  5. Step 5: Solve for x
    x = 192,656,614.07/13,735.44
  6. Step 6: Final answer
    x = 14,026.25

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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.