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Finding the Fourth Proportional to 4,649.78, 6,971.97 and 2,304.56

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Solution

The fourth proportional to 4,649.78, 6,971.97 and 2,304.56 is: 3,455.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.78 : 6,971.97 = 2,304.56 : x
  2. Step 2: Convert to fraction form
    4,649.78/6,971.97 = 2,304.56/x
  3. Step 3: Cross multiply
    4,649.78x = 6,971.97 × 2,304.56
  4. Step 4: Simplify right side
    4,649.78x = 16,067,323.18
  5. Step 5: Solve for x
    x = 16,067,323.18/4,649.78
  6. Step 6: Final answer
    x = 3,455.50

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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.