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Finding the Fourth Proportional to 27,304.42, 40,949.01 and 7,578.28

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Solution

The fourth proportional to 27,304.42, 40,949.01 and 7,578.28 is: 11,365.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,304.42 : 40,949.01 = 7,578.28 : x
  2. Step 2: Convert to fraction form
    27,304.42/40,949.01 = 7,578.28/x
  3. Step 3: Cross multiply
    27,304.42x = 40,949.01 × 7,578.28
  4. Step 4: Simplify right side
    27,304.42x = 310,323,063.50
  5. Step 5: Solve for x
    x = 310,323,063.50/27,304.42
  6. Step 6: Final answer
    x = 11,365.31

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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.