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Finding the Fourth Proportional to 30,843.32, 46,275.36 and 9,786.80

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Solution

The fourth proportional to 30,843.32, 46,275.36 and 9,786.80 is: 14,683.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,843.32 : 46,275.36 = 9,786.80 : x
  2. Step 2: Convert to fraction form
    30,843.32/46,275.36 = 9,786.80/x
  3. Step 3: Cross multiply
    30,843.32x = 46,275.36 × 9,786.80
  4. Step 4: Simplify right side
    30,843.32x = 452,887,693.25
  5. Step 5: Solve for x
    x = 452,887,693.25/30,843.32
  6. Step 6: Final answer
    x = 14,683.49

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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.