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Finding the Fourth Proportional to 9,717.62, 14,591.02 and 5,562.32

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Solution

The fourth proportional to 9,717.62, 14,591.02 and 5,562.32 is: 8,351.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,717.62 : 14,591.02 = 5,562.32 : x
  2. Step 2: Convert to fraction form
    9,717.62/14,591.02 = 5,562.32/x
  3. Step 3: Cross multiply
    9,717.62x = 14,591.02 × 5,562.32
  4. Step 4: Simplify right side
    9,717.62x = 81,159,922.37
  5. Step 5: Solve for x
    x = 81,159,922.37/9,717.62
  6. Step 6: Final answer
    x = 8,351.83

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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.