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Finding the Fourth Proportional to 30,595.84, 45,894.27 and 8,409.09

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Solution

The fourth proportional to 30,595.84, 45,894.27 and 8,409.09 is: 12,613.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,595.84 : 45,894.27 = 8,409.09 : x
  2. Step 2: Convert to fraction form
    30,595.84/45,894.27 = 8,409.09/x
  3. Step 3: Cross multiply
    30,595.84x = 45,894.27 × 8,409.09
  4. Step 4: Simplify right side
    30,595.84x = 385,929,046.91
  5. Step 5: Solve for x
    x = 385,929,046.91/30,595.84
  6. Step 6: Final answer
    x = 12,613.78

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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.