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Finding the Fourth Proportional to 30,514.74, 45,769.83 and 9,454.94

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Solution

The fourth proportional to 30,514.74, 45,769.83 and 9,454.94 is: 14,181.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,514.74 : 45,769.83 = 9,454.94 : x
  2. Step 2: Convert to fraction form
    30,514.74/45,769.83 = 9,454.94/x
  3. Step 3: Cross multiply
    30,514.74x = 45,769.83 × 9,454.94
  4. Step 4: Simplify right side
    30,514.74x = 432,750,981.45
  5. Step 5: Solve for x
    x = 432,750,981.45/30,514.74
  6. Step 6: Final answer
    x = 14,181.70

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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.