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Finding the Fourth Proportional to 9,758.10, 14,637.15 and 2,738.10

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Solution

The fourth proportional to 9,758.10, 14,637.15 and 2,738.10 is: 4,107.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.10 : 14,637.15 = 2,738.10 : x
  2. Step 2: Convert to fraction form
    9,758.10/14,637.15 = 2,738.10/x
  3. Step 3: Cross multiply
    9,758.10x = 14,637.15 × 2,738.10
  4. Step 4: Simplify right side
    9,758.10x = 40,077,980.42
  5. Step 5: Solve for x
    x = 40,077,980.42/9,758.10
  6. Step 6: Final answer
    x = 4,107.15

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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.