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Finding the Fourth Proportional to 6,153.71, 9,235.28 and 3,194.58

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Solution

The fourth proportional to 6,153.71, 9,235.28 and 3,194.58 is: 4,794.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,153.71 : 9,235.28 = 3,194.58 : x
  2. Step 2: Convert to fraction form
    6,153.71/9,235.28 = 3,194.58/x
  3. Step 3: Cross multiply
    6,153.71x = 9,235.28 × 3,194.58
  4. Step 4: Simplify right side
    6,153.71x = 29,502,840.78
  5. Step 5: Solve for x
    x = 29,502,840.78/6,153.71
  6. Step 6: Final answer
    x = 4,794.32

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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.