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Finding the Fourth Proportional to 30,947.58, 46,422.99 and 7,574.22

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Solution

The fourth proportional to 30,947.58, 46,422.99 and 7,574.22 is: 11,361.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,947.58 : 46,422.99 = 7,574.22 : x
  2. Step 2: Convert to fraction form
    30,947.58/46,422.99 = 7,574.22/x
  3. Step 3: Cross multiply
    30,947.58x = 46,422.99 × 7,574.22
  4. Step 4: Simplify right side
    30,947.58x = 351,617,939.32
  5. Step 5: Solve for x
    x = 351,617,939.32/30,947.58
  6. Step 6: Final answer
    x = 11,361.73

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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.