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Finding the Fourth Proportional to 30,934.94, 46,402.40 and 11,213.46

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Solution

The fourth proportional to 30,934.94, 46,402.40 and 11,213.46 is: 16,820.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,934.94 : 46,402.40 = 11,213.46 : x
  2. Step 2: Convert to fraction form
    30,934.94/46,402.40 = 11,213.46/x
  3. Step 3: Cross multiply
    30,934.94x = 46,402.40 × 11,213.46
  4. Step 4: Simplify right side
    30,934.94x = 520,331,456.30
  5. Step 5: Solve for x
    x = 520,331,456.30/30,934.94
  6. Step 6: Final answer
    x = 16,820.19

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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.