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Finding the Fourth Proportional to 9,823.70, 14,735.70 and 5,468.83

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Solution

The fourth proportional to 9,823.70, 14,735.70 and 5,468.83 is: 8,203.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,823.70 : 14,735.70 = 5,468.83 : x
  2. Step 2: Convert to fraction form
    9,823.70/14,735.70 = 5,468.83/x
  3. Step 3: Cross multiply
    9,823.70x = 14,735.70 × 5,468.83
  4. Step 4: Simplify right side
    9,823.70x = 80,587,010.89
  5. Step 5: Solve for x
    x = 80,587,010.89/9,823.70
  6. Step 6: Final answer
    x = 8,203.33

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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.