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Finding the Fourth Proportional to 9,758.38, 14,637.54 and 7,540.43

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Solution

The fourth proportional to 9,758.38, 14,637.54 and 7,540.43 is: 11,310.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.38 : 14,637.54 = 7,540.43 : x
  2. Step 2: Convert to fraction form
    9,758.38/14,637.54 = 7,540.43/x
  3. Step 3: Cross multiply
    9,758.38x = 14,637.54 × 7,540.43
  4. Step 4: Simplify right side
    9,758.38x = 110,373,363.48
  5. Step 5: Solve for x
    x = 110,373,363.48/9,758.38
  6. Step 6: Final answer
    x = 11,310.63

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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.