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Finding the Fourth Proportional to 30,446.04, 45,659.34 and 9,664.68

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Solution

The fourth proportional to 30,446.04, 45,659.34 and 9,664.68 is: 14,493.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,446.04 : 45,659.34 = 9,664.68 : x
  2. Step 2: Convert to fraction form
    30,446.04/45,659.34 = 9,664.68/x
  3. Step 3: Cross multiply
    30,446.04x = 45,659.34 × 9,664.68
  4. Step 4: Simplify right side
    30,446.04x = 441,282,910.11
  5. Step 5: Solve for x
    x = 441,282,910.11/30,446.04
  6. Step 6: Final answer
    x = 14,493.93

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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.