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Finding the Fourth Proportional to 30,843.87, 46,269.06 and 9,786.90

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Solution

The fourth proportional to 30,843.87, 46,269.06 and 9,786.90 is: 14,681.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,843.87 : 46,269.06 = 9,786.90 : x
  2. Step 2: Convert to fraction form
    30,843.87/46,269.06 = 9,786.90/x
  3. Step 3: Cross multiply
    30,843.87x = 46,269.06 × 9,786.90
  4. Step 4: Simplify right side
    30,843.87x = 452,830,663.31
  5. Step 5: Solve for x
    x = 452,830,663.31/30,843.87
  6. Step 6: Final answer
    x = 14,681.38

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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.