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Finding the Fourth Proportional to 9,833.70, 14,752.73 and 2,813.74

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Solution

The fourth proportional to 9,833.70, 14,752.73 and 2,813.74 is: 4,221.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833.70 : 14,752.73 = 2,813.74 : x
  2. Step 2: Convert to fraction form
    9,833.70/14,752.73 = 2,813.74/x
  3. Step 3: Cross multiply
    9,833.70x = 14,752.73 × 2,813.74
  4. Step 4: Simplify right side
    9,833.70x = 41,510,316.66
  5. Step 5: Solve for x
    x = 41,510,316.66/9,833.70
  6. Step 6: Final answer
    x = 4,221.23

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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.