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Finding the Fourth Proportional to 30,843.59, 46,263 and 8,656.07

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Solution

The fourth proportional to 30,843.59, 46,263 and 8,656.07 is: 12,983.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,843.59 : 46,263 = 8,656.07 : x
  2. Step 2: Convert to fraction form
    30,843.59/46,263 = 8,656.07/x
  3. Step 3: Cross multiply
    30,843.59x = 46,263 × 8,656.07
  4. Step 4: Simplify right side
    30,843.59x = 400,455,766.41
  5. Step 5: Solve for x
    x = 400,455,766.41/30,843.59
  6. Step 6: Final answer
    x = 12,983.44

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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.