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Finding the Fourth Proportional to 9,833.74, 14,752.84 and 3,259.92

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Solution

The fourth proportional to 9,833.74, 14,752.84 and 3,259.92 is: 4,890.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833.74 : 14,752.84 = 3,259.92 : x
  2. Step 2: Convert to fraction form
    9,833.74/14,752.84 = 3,259.92/x
  3. Step 3: Cross multiply
    9,833.74x = 14,752.84 × 3,259.92
  4. Step 4: Simplify right side
    9,833.74x = 48,093,078.17
  5. Step 5: Solve for x
    x = 48,093,078.17/9,833.74
  6. Step 6: Final answer
    x = 4,890.62

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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.