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Finding the Fourth Proportional to 3,164.36, 4,746.56 and 855.84

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Solution

The fourth proportional to 3,164.36, 4,746.56 and 855.84 is: 1,283.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.36 : 4,746.56 = 855.84 : x
  2. Step 2: Convert to fraction form
    3,164.36/4,746.56 = 855.84/x
  3. Step 3: Cross multiply
    3,164.36x = 4,746.56 × 855.84
  4. Step 4: Simplify right side
    3,164.36x = 4,062,295.91
  5. Step 5: Solve for x
    x = 4,062,295.91/3,164.36
  6. Step 6: Final answer
    x = 1,283.77

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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.