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Finding the Fourth Proportional to 30,822.53, 46,240.72 and 9,763.83

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Solution

The fourth proportional to 30,822.53, 46,240.72 and 9,763.83 is: 14,647.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,822.53 : 46,240.72 = 9,763.83 : x
  2. Step 2: Convert to fraction form
    30,822.53/46,240.72 = 9,763.83/x
  3. Step 3: Cross multiply
    30,822.53x = 46,240.72 × 9,763.83
  4. Step 4: Simplify right side
    30,822.53x = 451,486,504.75
  5. Step 5: Solve for x
    x = 451,486,504.75/30,822.53
  6. Step 6: Final answer
    x = 14,647.94

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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.