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Finding the Fourth Proportional to 30,609.80, 45,914.70 and 9,835.40

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Solution

The fourth proportional to 30,609.80, 45,914.70 and 9,835.40 is: 14,753.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,609.80 : 45,914.70 = 9,835.40 : x
  2. Step 2: Convert to fraction form
    30,609.80/45,914.70 = 9,835.40/x
  3. Step 3: Cross multiply
    30,609.80x = 45,914.70 × 9,835.40
  4. Step 4: Simplify right side
    30,609.80x = 451,589,440.38
  5. Step 5: Solve for x
    x = 451,589,440.38/30,609.80
  6. Step 6: Final answer
    x = 14,753.10

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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.