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Finding the Fourth Proportional to 9,797.92, 14,699.01 and 3,223.78

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Solution

The fourth proportional to 9,797.92, 14,699.01 and 3,223.78 is: 4,836.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.92 : 14,699.01 = 3,223.78 : x
  2. Step 2: Convert to fraction form
    9,797.92/14,699.01 = 3,223.78/x
  3. Step 3: Cross multiply
    9,797.92x = 14,699.01 × 3,223.78
  4. Step 4: Simplify right side
    9,797.92x = 47,386,374.46
  5. Step 5: Solve for x
    x = 47,386,374.46/9,797.92
  6. Step 6: Final answer
    x = 4,836.37

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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.