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Finding the Fourth Proportional to 9,758, 14,637.12 and 3,602

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Solution

The fourth proportional to 9,758, 14,637.12 and 3,602 is: 5,403.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758 : 14,637.12 = 3,602 : x
  2. Step 2: Convert to fraction form
    9,758/14,637.12 = 3,602/x
  3. Step 3: Cross multiply
    9,758x = 14,637.12 × 3,602
  4. Step 4: Simplify right side
    9,758x = 52,722,906.24
  5. Step 5: Solve for x
    x = 52,722,906.24/9,758
  6. Step 6: Final answer
    x = 5,403.04

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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.