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Finding the Fourth Proportional to 30,843.72, 46,265.46 and 7,470.12

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Solution

The fourth proportional to 30,843.72, 46,265.46 and 7,470.12 is: 11,205.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,843.72 : 46,265.46 = 7,470.12 : x
  2. Step 2: Convert to fraction form
    30,843.72/46,265.46 = 7,470.12/x
  3. Step 3: Cross multiply
    30,843.72x = 46,265.46 × 7,470.12
  4. Step 4: Simplify right side
    30,843.72x = 345,608,538.06
  5. Step 5: Solve for x
    x = 345,608,538.06/30,843.72
  6. Step 6: Final answer
    x = 11,205.15

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Double scale
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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.