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Finding the Fourth Proportional to 27,175.42, 40,770.24 and 9,409.78

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Solution

The fourth proportional to 27,175.42, 40,770.24 and 9,409.78 is: 14,117.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,175.42 : 40,770.24 = 9,409.78 : x
  2. Step 2: Convert to fraction form
    27,175.42/40,770.24 = 9,409.78/x
  3. Step 3: Cross multiply
    27,175.42x = 40,770.24 × 9,409.78
  4. Step 4: Simplify right side
    27,175.42x = 383,638,988.95
  5. Step 5: Solve for x
    x = 383,638,988.95/27,175.42
  6. Step 6: Final answer
    x = 14,117.13

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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.