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Finding the Fourth Proportional to 30,892.47, 46,322.10 and 9,826.80

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Solution

The fourth proportional to 30,892.47, 46,322.10 and 9,826.80 is: 14,734.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,892.47 : 46,322.10 = 9,826.80 : x
  2. Step 2: Convert to fraction form
    30,892.47/46,322.10 = 9,826.80/x
  3. Step 3: Cross multiply
    30,892.47x = 46,322.10 × 9,826.80
  4. Step 4: Simplify right side
    30,892.47x = 455,198,012.28
  5. Step 5: Solve for x
    x = 455,198,012.28/30,892.47
  6. Step 6: Final answer
    x = 14,734.92

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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.