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Finding the Fourth Proportional to 30,797.66, 46,192.52 and 9,739.85

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Solution

The fourth proportional to 30,797.66, 46,192.52 and 9,739.85 is: 14,608.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,797.66 : 46,192.52 = 9,739.85 : x
  2. Step 2: Convert to fraction form
    30,797.66/46,192.52 = 9,739.85/x
  3. Step 3: Cross multiply
    30,797.66x = 46,192.52 × 9,739.85
  4. Step 4: Simplify right side
    30,797.66x = 449,908,009.31
  5. Step 5: Solve for x
    x = 449,908,009.31/30,797.66
  6. Step 6: Final answer
    x = 14,608.51

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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.