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Finding the Fourth Proportional to 9,334.62, 13,998.24 and 4,653.06

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Solution

The fourth proportional to 9,334.62, 13,998.24 and 4,653.06 is: 6,977.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,334.62 : 13,998.24 = 4,653.06 : x
  2. Step 2: Convert to fraction form
    9,334.62/13,998.24 = 4,653.06/x
  3. Step 3: Cross multiply
    9,334.62x = 13,998.24 × 4,653.06
  4. Step 4: Simplify right side
    9,334.62x = 65,134,650.61
  5. Step 5: Solve for x
    x = 65,134,650.61/9,334.62
  6. Step 6: Final answer
    x = 6,977.75

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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.