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Finding the Fourth Proportional to 9,833.75, 14,748.58 and 3,596.70

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Solution

The fourth proportional to 9,833.75, 14,748.58 and 3,596.70 is: 5,394.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833.75 : 14,748.58 = 3,596.70 : x
  2. Step 2: Convert to fraction form
    9,833.75/14,748.58 = 3,596.70/x
  3. Step 3: Cross multiply
    9,833.75x = 14,748.58 × 3,596.70
  4. Step 4: Simplify right side
    9,833.75x = 53,046,277.49
  5. Step 5: Solve for x
    x = 53,046,277.49/9,833.75
  6. Step 6: Final answer
    x = 5,394.31

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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.